PORTAL_Graph_theory - Wikiparency

The canonical spine of [[Graph_theory]]: its full tree-verified child structure, publishable to Obsidian as the scaffold for route objects (microsims, songs, semiotics, cardsets, games, streams, transcripts) keyed to this hub.  ## Play every microsim on this page <p class="microsim-gallery-note">Every microsim linked from this portal, embedded live. <strong>48 players</strong> — 26 threejs · 22 p5js. 13 are staged but not yet deployed and show as placeholders.</p> <ul class="microsim-gallery"> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Computer_vision_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Computer vision — threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Computer_vision">Computer vision</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/Computer_vision_microsim.html" 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href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Four-dimensional polytopes</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/polytope4d.html" target="_blank" rel="noopener">open full-screen</a> · on <a href="https://en.wikitube.io/wiki/WT!Three_js_Microsim_Master_Class">Three.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Genus_mathematics_microsim.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Genus mathematics — threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Genus_(mathematics)">Genus mathematics</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/Genus_mathematics_microsim.html" target="_blank" rel="noopener">open full-screen</a> · on <a 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topology — threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Surface_(topology)">Surface topology</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/Surface_topology_microsim.html" target="_blank" rel="noopener">open full-screen</a> · on <a href="https://en.wikitube.io/wiki/Surface_(topology)">Surface (topology)</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/90jeLsBsW" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Acoustic wave — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Acoustic wave</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/90jeLsBsW" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/tHGSVAofH" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Aliasing — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Aliasing</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/tHGSVAofH" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/D74_AaJE3" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Augmented reality — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Augmented_reality">Augmented reality</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/D74_AaJE3" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/1qoztrPh5" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Calculus (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Calculus">Calculus (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/1qoztrPh5" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Calculus">Calculus</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/nxpBw5EQr" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Communication protocol — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Communication_protocol">Communication protocol</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/nxpBw5EQr" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/7uj2O763w" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Complex analysis (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Complex_analysis">Complex analysis (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/7uj2O763w" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Complex_analysis">Complex analysis</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/DtAoGXBbj" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Control theory (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Control_theory">Control theory (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/DtAoGXBbj" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Control_theory">Control theory</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/n7H920z5s" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Electric current — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Electric_current">Electric current</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/n7H920z5s" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/ed_W_W-NO" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Functional analysis (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Functional_analysis">Functional analysis (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/ed_W_W-NO" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Functional_analysis">Functional analysis</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/Q1lzsnapy" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Graph theory (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Graph_theory">Graph theory (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/Q1lzsnapy" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Graph_theory">Graph theory</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/i0OrDsbz-" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Graphics processing unit (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Graphics_processing_unit">Graphics processing unit (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/i0OrDsbz-" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Graphics_processing_unit">Graphics processing unit</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/HVNGd9nMv" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Histogram — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">Histogram</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/HVNGd9nMv" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/WT!P5_js_Microsim_Master_Class">p5.js Microsim Master Class</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/-YldUCuWe" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Image compression (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Image_compression">Image compression (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/-YldUCuWe" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Image_compression">Image compression</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/byCRgwg34" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Information theory — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Information_theory">Information theory</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/byCRgwg34" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe 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title="Quantum computing — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Quantum_computing">Quantum computing</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/REj7QBkj4" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/YTIXLLmT3" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Real-time computing (p5.js) — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Real-time_computing">Real-time computing (p5.js)</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/YTIXLLmT3" target="_blank" rel="noopener">open in the p5 editor</a> · on <a href="https://en.wikitube.io/wiki/Real-time_computing">Real-time computing</a></div></div> </li> <li 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editor</a></div></div> </li> <li class="microsim-card" data-lib="p5js"> <iframe src="https://editor.p5js.org/sciencenibber/full/ZBxM-wEIe" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Wayback Machine — p5js microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Wayback_Machine">Wayback Machine</a></div><div class="ms-sub">p5js · <a href="https://editor.p5js.org/sciencenibber/full/ZBxM-wEIe" target="_blank" rel="noopener">open in the p5 editor</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Computer_architecture.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Computer_architecture">Computer architecture</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Computer_hardware.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Computer_hardware">Computer hardware</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Connectomics.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Connectomics — threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Connectomics">Connectomics</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/Connectomics.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Graphics_processing_unit.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Graphics_processing_unit">Controls -> what each maps to</a></div><div class="ms-sub">threejs · awaiting CDN deploy · on <a href="https://en.wikitube.io/wiki/Graphics_processing_unit">Graphics processing unit</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Set_theory.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Set_theory">Controls -> what each maps to</a></div><div class="ms-sub">threejs · awaiting CDN deploy · on <a href="https://en.wikitube.io/wiki/Set_theory">Set theory</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Euler_characteristic.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Euler_characteristic">Euler characteristic</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Graph_of_a_function.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Graph_of_a_function">Graph of a function</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Multiprocessing.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Multiprocessing">Multiprocessing</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Multithreading_%28computer_architecture%29.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Multithreading_(computer_architecture)">Multithreading (computer architecture)</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Polyhedron.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Polyhedron">Polyhedron</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Polytope.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Polytope">Polytope</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card" data-lib="threejs"> <iframe src="https://wikitube-3d-microsims.netlify.app/Porous_medium.html" loading="lazy" frameborder="0" sandbox="allow-scripts allow-same-origin" title="Porous medium — threejs microsim"></iframe> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Porous_medium">Porous medium</a></div><div class="ms-sub">threejs · <a href="https://wikitube-3d-microsims.netlify.app/Porous_medium.html" target="_blank" rel="noopener">open full-screen</a></div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Projective_geometry.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Projective_geometry">Projective geometry</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Reinforcement_learning.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Reinforcement_learning">Reinforcement learning</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> <li class="microsim-card is-pending" data-lib="threejs"> <div class="ms-placeholder">Staged, not yet deployed — <code>Very-large-scale_integration.html</code></div> <div class="ms-meta"><div class="ms-title"><a href="https://en.wikitube.io/wiki/Very-large-scale_integration">Very-large-scale integration</a></div><div class="ms-sub">threejs · awaiting CDN deploy</div></div> </li> </ul>   **Craft standard:** Both craft standards apply here — [[WT!Three_js_Microsim_Master_Class|three.js]] and [[WT!P5_js_Microsim_Master_Class|p5.js]].   *Microsims from the articles linked below:* <div class="wt-sim" data-src="https://wikitube-3d-microsims.netlify.app/matter/Chemical_bond.html" data-title="Chemical bond"></div>   ## Canonical link structure — 599 tree-verified children Hub article: [[Graph_theory]] · tree harvested 2026-07-29T23:00:55Z · every entry below is in this hub's harvested child tree (v09-gated). Unbuilt links are intentional forward-refs: the populate scaffold. **A** — [[Abstract_algebra]] · [[Academic_Press]] · [[ACM_Computing_Classification_System]] · [[Adjacency_list]] · [[Adjacency_matrix]] · [[Advances_in_Mathematics]] · [[Affine_geometry]] · [[Alexandre-Théophile_Vandermonde]] · [[Alfred_Kempe]] · [[Alfréd_Rényi]] · [[Algebra]] · [[Algebraic_geometry]] · [[Algebraic_graph_theory]] · [[Algebraic_number_theory]] · [[Algebraic_topology]] · [[Algorithm]] · [[Algorithmic_efficiency]] · [[American_Mathematical_Society]] · [[Analysis_of_algorithms]] · [[Analytic_geometry]] · [[Analytic_number_theory]] · [[Angular_resolution_(graph_drawing)]] · [[Application_security]] · [[Applied_mathematics]] · [[Arboricity]] · [[Area_(graph_drawing)]] · [[Arithmetic]] · [[Arithmetic_geometry]] · [[Arthur_Cayley]] · [[Artificial_intelligence]] · [[Art_gallery_problem]] · [[ArXiv]] · [[Atom]] · [[Augmented_reality]] · [[Augustin-Louis_Cauchy]] · [[Augustus_De_Morgan]] · [[Automata_theory]] · [[Automated_planning_and_scheduling]] · [[Automated_theorem_proving]] · [[Automorphism_group]] **B** — [[Bend_minimization]] · [[Bernd_Sturmfels]] · [[Bibcode]] · [[Binary_tree]] · [[Biological_pathway]] · [[Biology]] · [[BioRxiv]] · [[Bipartite_graph]] · [[Bojan_Mohar]] · [[Book_embedding]] · [[Branching_process]] · [[Branko_Grünbaum]] · [[Brownian_tree]] · [[Bulletin_of_the_American_Mathematical_Society]] **C** — [[Calculus]] · [[Cambridge_University_Press]] · [[Camille_Jordan]] · [[Carsten_Thomassen_(mathematician)]] · [[Category_theory]] · [[Characteristic_polynomial]] · [[Chemical_bond]] · [[Chemical_graph_theory]] · [[Chemistry]] · [[Chinese_postman_problem]] · [[Chromatic_polynomial]] · [[Circle_packing]] · [[Circle_packing_theorem]] · [[Clique_problem]] · [[Color]] · [[Combinatorics]] · [[Communication_protocol]] · [[Commutative_algebra]] · [[Compiler]] · [[Complete_bipartite_graph]] · [[Complete_graph]] · [[Complex_analysis]] · [[Complex_geometry]] · [[Computability_theory]] · [[Computational_biology]] · [[Computational_chemistry]] · [[Computational_complexity]] · [[Computational_complexity_theory]] · [[Computational_engineering]] · [[Computational_geometry]] · [[Computational_Geometry_(journal)]] · [[Computational_intelligence]] · [[Computational_linguistics]] · [[Computational_mathematics]] · [[Computational_neuroscience]] · [[Computational_physics]] · [[Computational_problem]] · [[Computational_social_science]] · [[Computer_accessibility]] · [[Computer_algebra]] · [[Computer_animation]] · [[Computer_architecture]] · [[Computer_data_storage]] · [[Computer_graphics]] · [[Computer_hardware]] · [[Computer_network]] · [[Computer_science]] · [[Computer_security]] · [[Computer_vision]] · [[Computing]] · [[Computing_platform]] · [[Concurrency_(computer_science)]] · [[Concurrent_computing]] · [[Condensed_matter_physics]] · [[Configuration_(geometry)]] · [[Connectomics]] · [[Control_flow]] · [[Control_theory]] · [[Convex_geometry]] · [[Covering_graph]] · [[Covering_problems]] · [[Cross-validation_(statistics)]] · [[Crossing_number_(graph_theory)]] · [[Cryptography]] · [[Cyber-physical_system]] · [[Cybernetics]] · [[Cyberwarfare]] · [[Cycle_double_cover]] · [[Cytoscape]] **D** — [[Daniel_P._Sanders]] · [[Database]] · [[Database_transaction]] · [[Data_and_information_visualization]] · [[Data_mining]] · [[Data_structure]] · [[David_Richeson]] · [[Decision_problem]] · [[Decision_support_system]] · [[Degree_(graph_theory)]] · [[Degree_matrix]] · [[Dense_graph]] · [[Dependability]] · [[Derek_Corneil]] · [[Diagonal_matrix]] · [[Diamond_graph]] · [[Differential_calculus]] · [[Differential_equation]] · [[Differential_geometry]] · [[Differential_topology]] · [[Digital_art]] · [[Digital_library]] · [[Digital_marketing]] · [[Digital_object_identifier]] · [[Diophantine_geometry]] · [[Directed_acyclic_graph]] · [[Directed_graph]] · [[Discrete_geometry]] · [[Discrete_mathematics]] · [[Discrete_uniform_distribution]] · [[Distance-regular_graph]] · [[Distance-transitive_graph]] · [[Distance_matrix]] · [[Distributed_artificial_intelligence]] · [[Distributed_computing]] · [[Document_management_system]] · [[Domain-specific_language]] · [[Dominating_set]] · [[Dénes_Kőnig]] **E** — [[E-commerce]] · [[Earth–Moon_problem]] · [[Edge-transitive_graph]] · [[Edge_coloring]] · [[Edge_contraction]] · [[Edge_list]] · [[Educational_technology]] · [[Ed_Scheinerman]] · [[Eigendecomposition_of_a_matrix]] · [[Eigenvalues_and_eigenvectors]] · [[Electrical_network]] · [[Electric_current]] · [[Electronic_design_automation]] · [[Electronic_publishing]] · [[Electronic_voting]] · [[Elementary_algebra]] · [[Elsevier]] · [[Embedded_system]] · [[Encyclopedia_of_Mathematics]] · [[Engineering_mathematics]] · [[Enterprise_information_system]] · [[Enterprise_software]] · [[Erdős–Faber–Lovász_conjecture]] · [[Erdős–Rényi_model]] · [[Erdős–Stone_theorem]] · [[Euclidean_distance]] · [[Euclidean_geometry]] · [[Euclidean_minimum_spanning_tree]] · [[Euclidean_plane]] · [[Euclidean_space]] · [[Euler's_Gem]] · [[Euler_characteristic]] · [[Extended_reality]] · [[Extremal_combinatorics]] · [[Extremal_graph_theory]] **F** — [[Fano_plane]] · [[Fault_tolerance]] · [[Feature_structure]] · [[Feynman_diagram]] · [[Field_(mathematics)]] · [[Finite-state_transducer]] · [[Finite_geometry]] · [[Finite_group]] · [[Five_color_theorem]] · [[Flow_network]] · [[Forbidden_graph_characterization]] · [[Forbidden_subgraph_problem]] · [[Formal_language]] · [[Formal_methods]] · [[Form_factor_(design)]] · [[Foundations_of_mathematics]] · [[Four_color_theorem]] · [[Francis_Guthrie]] · [[Frank_Harary]] · [[Frank_P._Ramsey]] · [[Free_software]] · [[Frucht's_theorem]] · [[Functional_analysis]] · [[Future_of_mathematics]] · [[Fáry's_theorem]] **G** — [[Game_theory]] · [[Gary_Chartrand]] · [[General_topology]] · [[Genomics]] · [[Genus_(mathematics)]] · [[Geographic_information_system]] · [[Geomathematics]] · [[Geometric_graph_theory]] · [[Geometric_group_theory]] · [[Geometric_topology]] · [[Geometry]] · [[George_Pólya]] · [[George_Pólya_Prize]] · [[Gephi]] · [[Glossary_of_graph_theory]] · [[Glossary_of_mathematical_symbols]] · [[Gottfried_Wilhelm_Leibniz]] · [[Graham_Brightwell]] · [[Graph]] · [[Graphics_processing_unit]] · [[Graphviz]] · [[Graph_(abstract_data_type)]] · [[Graph_(discrete_mathematics)]] · [[Graph_automorphism]] · [[Graph_coloring]] · [[Graph_database]] · [[Graph_drawing]] · [[Graph_embedding]] · [[Graph_enumeration]] · [[Graph_factorization]] · [[Graph_homomorphism]] · [[Graph_isomorphism]] · [[Graph_isomorphism_problem]] · [[Graph_minor]] · [[Graph_of_a_function]] · [[Graph_property]] · [[Graph_rewriting]] · [[Graph_Theory,_1736–1936]] · [[Green_computing]] · [[Group_(mathematics)]] · [[Group_theory]] · [[Gustav_Kirchhoff]] · [[Günter_M._Ziegler]] **H** — [[Hadwiger_conjecture_(graph_theory)]] · [[Hadwiger–Nelson_problem]] · [[Half-space_(geometry)]] · [[Hamiltonian_path_problem]] · [[Hardware_acceleration]] · [[Hardware_security]] · [[Harmonic_analysis]] · [[Hassler_Whitney]] · [[Head-driven_phrase_structure_grammar]] · [[Health_informatics]] · [[Heawood_graph]] · [[Heinrich_Heesch]] · [[History_of_mathematics]] · [[Homeomorphism_(graph_theory)]] · [[Homological_algebra]] · [[Homomorphism_density]] · [[Homotopy_theory]] · [[Hugo_Hadwiger]] · [[Human-centered_computing]] · [[Human–computer_interaction]] · [[Hyperlink]] **I** — [[Igraph]] · [[Image_compression]] · [[Incidence_geometry]] · [[Incidence_matrix]] · [[Incidence_structure]] · [[Independent_set_(graph_theory)]] · [[Induced_subgraph]] · [[Industrial_process_control]] · [[Informal_mathematics]] · [[Information_geometry]] · [[Information_retrieval]] · [[Information_security]] · [[Information_system]] · [[Information_theory]] · [[Integrated_circuit]] · [[Integrated_development_environment]] · [[Interaction_design]] · [[Interpreter_(computing)]] · [[Intersection]] · [[Intersection_graph]] · [[Intersection_number_(graph_theory)]] · [[Interval_graph]] · [[Intrusion_detection_system]] · [[ISBN]] · [[ISSN]] **J** — [[Jacob_L._Moreno]] · [[James_Joseph_Sylvester]] · [[Johann_Benedict_Listing]] · [[Julius_Petersen]] · [[János_Pach]] **K** — [[Katalin_Vesztergombi]] · [[Kazimierz_Kuratowski]] · [[Kelmans–Seymour_conjecture]] · [[Kenneth_Appel]] · [[Kirchhoff's_circuit_laws]] · [[Kirchhoff's_theorem]] · [[Knight's_tour]] · [[Knot_invariant]] · [[Knowledge_representation_and_reasoning]] · [[Kuratowski's_theorem]] · [[Königsberg]] **L** — [[L._W._Beineke]] · [[Laplacian_matrix]] · [[Large_numbers]] · [[Lattice_graph]] · [[Leonhard_Euler]] · [[Levi_graph]] · [[Lexical_semantics]] · [[Library_(computing)]] · [[Linear_algebra]] · [[Line_graph]] · [[Line_segment]] · [[Linguistics]] · [[Linkless_embedding]] · [[Lists_of_mathematicians]] · [[Lists_of_mathematics_topics]] · [[List_edge-coloring]] · [[List_of_algorithms]] · [[List_of_computer_size_categories]] · [[List_of_films_about_mathematicians]] · [[List_of_graphs]] · [[List_of_graph_theory_topics]] · [[List_of_publications_in_mathematics]] · [[List_of_unsolved_problems_in_mathematics]] · [[Logic_in_computer_science]] · [[Loop-erased_random_walk]] · [[Loop_(graph_theory)]] · [[László_Lovász]] **M** — [[Machine_learning]] · [[Maple_(software)]] · [[Martin_Gardner]] · [[Matching_(graph_theory)]] · [[Mathematical_analysis]] · [[Mathematical_and_theoretical_biology]] · [[Mathematical_chemistry]] · [[Mathematical_economics]] · [[Mathematical_finance]] · [[Mathematical_linguistics]] · [[Mathematical_logic]] · [[Mathematical_optimization]] · [[Mathematical_physics]] · [[Mathematical_psychology]] · [[Mathematical_Reviews]] · [[Mathematical_sociology]] · [[Mathematical_software]] · [[Mathematical_statistics]] · [[Mathematical_structure]] · [[Mathematician]] · [[Mathematics]] · [[Mathematics_and_art]] · [[Mathematics_education]] · [[Matrix_(mathematics)]] · [[Max-flow_min-cut_theorem]] · [[Measure_(mathematics)]] · [[Mehdi_Behzad]] · [[Micha_Sharir]] · [[Microsoft_Automatic_Graph_Layout]] · [[Middleware]] · [[Minimum_spanning_tree]] · [[Mixed_graph]] · [[Mobile_computing]] · [[Modeling_language]] · [[Model_of_computation]] · [[Molecular_biology]] · [[Molecular_graph]] · [[Molecule_editor]] · [[Multi-task_learning]] · [[Multigraph]] · [[Multimedia_database]] · [[Multiprocessing]] · [[Multithreading_(computer_architecture)]] **N** — [[Natural_language_processing]] · [[Nature_(journal)]] · [[Neighbourhood_(graph_theory)]] · [[Neil_Robertson_(mathematician)]] · [[Networking_hardware]] · [[NetworkX]] · [[Network_architecture]] · [[Network_performance]] · [[Network_scheduler]] · [[Network_science]] · [[Network_security]] · [[Network_service]] · [[Nicolaas_Govert_de_Bruijn]] · [[NP-completeness]] · [[Number]] · [[Number_theory]] · [[Numerical_analysis]] **O** — [[OCLC]] · [[Open_source]] · [[Operating_system]] · [[Operations_research]] · [[Optimality_theory]] · [[Orientation_(graph_theory)]] · [[Outline_of_computer_science]] **P** — [[Pacific_Journal_of_Mathematics]] · [[Parallel_computing]] · [[Parsing]] · [[Partially_ordered_set]] · [[Path_(graph_theory)]] · [[Pat_Morin]] · [[Paul_Erdős]] · [[Paul_Seymour_(mathematician)]] · [[Percolation_theory]] · [[Percy_John_Heawood]] · [[Peripheral]] · [[Persistence_(computer_science)]] · [[Petersen_graph]] · [[Peter_Eades]] · [[Peter_Guthrie_Tait]] · [[Philippe_Flajolet]] · [[Philosophy_of_artificial_intelligence]] · [[Philosophy_of_mathematics]] · [[Photograph_manipulation]] · [[Physics]] · [[Ping_Zhang_(graph_theorist)]] · [[Planar_graph]] · [[Planar_straight-line_graph]] · [[Polyhedral_graph]] · [[Polyhedron]] · [[Polytope]] · [[Porous_medium]] · [[Pregolya]] · [[Principle_of_compositionality]] · [[Printed_circuit_board]] · [[Probabilistic_method]] · [[Probability]] · [[Probability_distribution]] · [[Probability_theory]] · [[Processor_(computing)]] · [[Programming_language]] · [[Programming_language_theory]] · [[Programming_paradigm]] · [[Programming_team]] · [[Programming_tool]] · [[Projective_geometry]] · [[Proprietary_software]] · [[PubMed]] · [[PubMed_Central]] · [[Pál_Turán]] **Q** — [[Quantum_computing]] · [[Quantum_field_theory]] **R** — [[Randomized_algorithm]] · [[Random_binary_tree]] · [[Random_forest]] · [[Random_graph]] · [[Random_minimum_spanning_tree]] · [[Random_recursive_tree]] · [[Random_tree]] · [[Rapidly_exploring_random_tree]] · [[Real-time_computing]] · [[Real_analysis]] · [[Reconstruction_conjecture]] · [[Recreational_mathematics]] · [[Regular_dodecahedron]] · [[Regular_graph]] · [[Reinforcement_learning]] · [[Rendering_(computer_graphics)]] · [[Representation_(mathematics)]] · [[Requirements_analysis]] · [[Roberto_Tamassia]] · [[Robertson–Seymour_theorem]] · [[Robert_Sedgewick_(computer_scientist)]] · [[Robin_Thomas_(mathematician)]] · [[Robin_Wilson_(mathematician)]] · [[Rumor_spread_in_social_network]] **S** — [[Scheinerman's_conjecture]] · [[Security_hacker]] · [[Security_service_(telecommunication)]] · [[Semantics_(programming_languages)]] · [[Semantic_network]] · [[Semantic_Scholar]] · [[Set_cover_problem]] · [[Set_theory]] · [[Seven_Bridges_of_Königsberg]] · [[Shortest_path_problem]] · [[SIAM_Journal_on_Discrete_Mathematics]] · [[Simon_Antoine_Jean_L'Huilier]] · [[Simplex]] · [[Simple_polygon]] · [[Simplicial_complex]] · [[Single-cell_analysis]] · [[Six_Degrees_of_Kevin_Bacon]] · [[Slope_number]] · [[Social_computing]] · [[Social_network_analysis]] · [[Social_software]] · [[Society_for_Industrial_and_Applied_Mathematics]] · [[Sociogram]] · [[Sociology]] · [[Software_configuration_management]] · [[Software_construction]] · [[Software_deployment]] · [[Software_design]] · [[Software_development]] · [[Software_development_process]] · [[Software_engineering]] · [[Software_framework]] · [[Software_maintenance]] · [[Software_quality]] · [[Software_repository]] · [[Solid_modeling]] · [[Spanning_tree]] · [[Spectral_graph_theory]] · [[Statistical_mechanics]] · [[Statistics]] · [[Steiner_tree_problem]] · [[Steinitz's_theorem]] · [[Stochastic_computing]] · [[Stochastic_process]] · [[Strongly_regular_graph]] · [[Strong_perfect_graph_theorem]] · [[Subgraph_isomorphism_problem]] · [[Supervised_learning]] · [[Surface_(topology)]] · [[Symmetric_graph]] · [[Symmetric_group]] · [[Symposium_on_Theory_of_Computing]] · [[Syntax]] · [[Systems_science]] · [[System_on_a_chip]] · [[Szemerédi_regularity_lemma]] **T** — [[Theoretical_computer_science]] · [[Theory_of_computation]] · [[Thomas_W._Tucker]] · [[Three_utilities_problem]] · [[Timeline_of_mathematics]] · [[Topological_graph_theory]] · [[Topological_space]] · [[Topology]] · [[Total_coloring]] · [[Travelling_salesman_problem]] · [[Treap]] · [[Tree_(graph_theory)]] · [[Triangle-free_graph]] · [[Tulip_(software)]] · [[Turán's_brick_factory_problem]] · [[Turán's_theorem]] · [[Tutte_polynomial]] · [[Type_theory]] **U** — [[U.S._state]] · [[Ubiquitous_computing]] · [[United_States]] · [[Unit_disk_graph]] · [[Unit_distance_graph]] · [[Unsupervised_learning]] **V** — [[Vera_T._Sós]] · [[VerbNet]] · [[Vertex-transitive_graph]] · [[Vertex_(graph_theory)]] · [[Vertex_connectivity]] · [[Vertex_cover]] · [[Very-large-scale_integration]] · [[Video_game]] · [[Virtual_machine]] · [[Virtual_reality]] · [[Visibility_graph]] · [[Visualization_(graphics)]] · [[Voltage]] · [[Voltage_graph]] **W** — [[W._T._Tutte]] · [[Wagner's_theorem]] · [[Wayback_Machine]] · [[Website]] · [[William_Rowan_Hamilton]] · [[William_Thurston]] · [[Wireless_sensor_network]] · [[Wolfgang_Haken]] · [[Wolfram_Mathematica]] · [[WordNet]] · [[Word_processor]] · [[World_Wide_Web]] **#** — [[Øystein_Ore]] ## Route objects (§10.3 stubs — placeholders declared in `_registry/firebase/`) - **microsim** — `microsim/{library}/Graph_theory__{YYYYMMDD}T{HHMM}Z/` - **songs** — `songs/{Band_name}/{Song_name}/Graph_theory/` - **semiotics** — `semiotics/{authorizer}/{set}/{Song_name}/{audio_video_id}/Graph_theory/` - **cardset** — `cardset/{authorizer}/{set}/Graph_theory/` - **games** — `games/quizzes/Graph_theory/` - **channel_stream** — `channel_stream/Graph_theory/` - **transcripts** — `transcripts/{audio_video_id}/Graph_theory/` Hub + children route keys are pre-declared in `_registry/firebase/expansion_matches.csv` (54,000 Related Wikipedia Matches). Minting any leaf passes §10.1 registration.  --- *Repopulated 2026-09-19 · append-only · source: _tools/generate/g34_portal_section_sims.py@36068b13 (players of the linked articles, each URL 200-checked) · 1 added · 0 deletions*