# Centrality
## MicroSim spec
- **Recommended sim type:** network dynamics
- **Microsimmability score:** 78/100
- **Layout:** drawing region (canvas) on top; control region (sliders/buttons) below.
### Parameters (tunable controls)
- `Number of nodes`
- `Edge probability`
- `Centrality measure`
### What animates
Nodes swell or shrink to show their centrality as the network and measure change.
### Learning objective
Show how different centrality measures rank a node's importance.
## Links (Wikipedia order)
<!-- injected from _registry/childlinks/Centrality.json (2026-07-30T02:09:12Z) -->
`Adjacency_list` · [[Adjacency_matrix]] · [[Agent-based_model]] · `Alex_Bavelas` · `Assortativity` · `Authority_distribution` · `Balance_theory` · `Barabási–Albert_model` · `Betweenness_centrality` · `Bianconi–Barabási_model` · `Big_O_notation` · `Biological_network` · `Bipartite_graph` · `Blockmodeling` · `Boolean_network` · `Brandes'_algorithm` · `Clique_(graph_theory)` · `Closeness_centrality` · `Clustering_coefficient` · [[Combinatorial_optimization]] · `Community_structure` · `Complete_graph` · `Complex_contagion` · `Complex_network` · `Computer_network` · `Core–periphery_structure` · `Cut_(graph_theory)` · `Cycle_(graph_theory)` · `David_Krackhardt` · `Degree_(graph_theory)` · `Degree_distribution` · `Dependency_network` · `Directed_graph` · `Distance_(graph_theory)` · `Efficiency_(network_science)` · `Eigenvalue_algorithm` · `Eigenvector_centrality` · `Erdős–Rényi_model` · `Evolving_network` · `Exponential_family_random_graph_models` · `Fitness_model_(network_theory)` · `Flow_network` · `Floyd–Warshall_algorithm` · `Google` · `Graph_(abstract_data_type)` · `Graph_(discrete_mathematics)` · `Graph_drawing` · [[Graph_theory]] · `Group_centrality` · `Hierarchical_network_model` · `Homophily` · `Hyperbolic_geometric_graph` · `Hypergraph` · `Incidence_matrix` · `Interdependent_networks` · `Internet` · `Jaccard_index` · `Johnson's_algorithm` · `Katz_centrality` · `Krackhardt_kite_graph` · `Lancichinetti–Fortunato–Radicchi_benchmark` · `Link_analysis` · `Linton_Freeman` · `List_of_algorithms` · `List_of_network_scientists` · `List_of_network_theory_topics` · `Loop_(graph_theory)` · `Massimo_Marchiori` · `Matrix_similarity` · `Maximum-entropy_random_graph_model` · `Metrics_(networking)` · `Modularity_(networks)` · `Multigraph` · `Multiplicative_inverse` · `Neighbourhood_(graph_theory)` · `Network_controllability` · `Network_effect` · [[Network_motif]] · `Network_on_a_chip` · [[Network_science]] · [[Network_theory]] · `Node_influence_metric` · `Normalization_(statistics)` · `PageRank` · `Path_(graph_theory)` · `Percolation_theory` · `Perron–Frobenius_theorem` · `Power_iteration` · `Preferential_attachment` · `Random_geometric_graph` · `Random_graph` · `Reciprocity_(network_science)` · `Resolvent_formalism` · [[Scale-free_network]] · `Scientific_collaboration_network` · `Semantic_network` · `Set_(mathematics)` · `Shapley_value` · `Shortest_path_problem` · `Singleton_(mathematics)` · [[Small-world_network]] · `Social_capital` · `Social_influence` · `Social_network` · [[Social_network_analysis]] · `Social_network_analysis_software` · `Sociology` · `Soft_configuration_model` · `Sparse_matrix` · `Spatial_network` · `Star_(graph_theory)` · `Stochastic_block_model` · `Stochastic_matrix` · `Telecommunications_network` · `Transitive_relation` · `Triadic_closure` · `Ulrik_Brandes` · `Vertex_(graph_theory)` · `Vito_Latora` · `Watts–Strogatz_model` · [[Wayback_Machine]]
> p5.js MicroSim stub · part of Systems Thinking · [Wikipedia source](https://en.wikipedia.org/wiki/Centrality)
> Relation: subfield of systems thinking.
## Concept summary
In [[Graph_theory|graph theory]] and network analysis, indicators of centrality assign numbers or rankings to nodes within a graph corresponding to their network position. Applications include identifying the most influential person(s) in a social network, key infrastructure nodes in the Internet or urban networks, ...
## Build checklist
- [ ] Claim it: set `status: in-progress` + `lease` + `leased_at`
- [ ] Write the child page explaining the concept (tie it back to systems thinking)
- [ ] Finalize parameter ranges and defaults
- [ ] Implement the p5.js sketch (drawing + control regions)
- [ ] Add caption + the learning objective on the page
- [ ] Set `status: done`
## p5.js sketch
```javascript
// MicroSim: Centrality
let controls = {};
function setup() {
// createCanvas(...); create sliders for the parameters above.
}
function draw() {
// background(...); read controls; render network dynamics; respond live.
}
```
---
Back to Systems Thinking · Wikipedia: [Centrality](https://en.wikipedia.org/wiki/Centrality)
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## Semiotic profile
> *The semiotic universals this article invokes, machine-derived from the crossref — **unverified** (born so). Populated 2026-07-06 for the Systems room.*
**Universals (7):** 🟢 network (22) · 🟡 system (10) · 🟢 measurement (6) · 🟡 science (5) · 🟡 structure (2) · 🟡 density (1) · 🟢 probability (1)
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## Wikipedia : Wikitube
**Strict pair:** [Wikipedia](https://en.wikipedia.org/wiki/Centrality) : [Wikitube](https://en.wikitube.io/wiki/Centrality)
## Previous hub tags
Tree parents: [[Complex_system]] · [[Cybernetics]] · [[Emergence]] · [[Feedback]] · [[Network_theory]] · [[Self-organization]] · [[Systems_science]] · [[Systems_theory]].
Legacy hubs: none.
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*Sources: 2 legacy notes. Minted wave 1, 2026-07-30 (v1.6 order).*