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Centrality

In 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, super-spreaders of disease, and brain networks.…

Characters, Definition and characterization of centrality indices & Closeness centrality

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Definition and characterization of centrality indices

PathsEigenvalue centralityBetweenness centralityGeodesicsWalks
10 related topics

Closeness centrality

ConnectedGraphNormalizedShortest pathAlex Bavelas
9 related topics

Eigenvector centrality

GooglePageRankKatz centralityEigenvectorEigenvalues
9 related topics

Betweenness centrality

EdgeLinton FreemanDirected graphsStar graphO ( | V | | E | ) {\displaystyle O(|V||E|)}
8 related topics

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Overview

Definition and characterization of centrality indices

Important limitations

Degree centrality

Closeness centrality

Betweenness centrality

Eigenvector centrality

Cross-clique centrality

Dissimilarity-based centrality measures

Group centrality

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Map overview Semantic statistics

Centrality

Nodes75
Edges74
Triples130
Avg. degree1.97
Density0.026667
Components1

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Centrality

Top relations

related to Further reading · 14
Centrality → Centrality Indices, Eds, Erlebach, In Brandes, Koschützki, Lehmann, LNCS, Methodological Foundations, Network Analysis, Peeters, Richter, Springer-Verlag, Tenfelde-Podehl, Zlotowski
related to Characterization by walk structure · 12
Centrality → An, Centralities, Closeness, Freeman's, Length, Likewise, Medial, Note, Radial, The, This, Volume
related to Percolation centrality · 11
Centrality → Computer, For, However, In, It, PC, Percolation, Piraveenan, Rumours, The, This
related to Centrality measures used in transportation networks · 8
Centrality → Betweenness Centrality, However, In, Prominent, Therefore, Transportation, Transportation Centrality, While
related to Radial-volume centralities exist on a spectrum · 8
Centrality → Alpha, Alternative, Bonacich, Centralities, Degree, Estrada's, The, These
related to Cross-clique centrality · 7
Centrality → Borgatti, Cliques, Cross-clique, Everett, Faghani, The, This
related to Important limitations · 7
Centrality → An, Indeed, Krackhardt, Recently, The, They, This
related to Closeness centrality · 6
Centrality → Alex Bavelas, Closeness, However, In, N-1, Thus
related to Definition and characterization of centrality indices · 6
Centrality → Both, Importance, The, This, Two, What
related to Betweenness centrality · 5
Centrality → Betweenness, In, It, Linton Freeman, The

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Important terminology

network node nodes displaystyle measures graph vertex vertices number betweenness eigenvector given measure paths centralities degree defined walks matrix shortest

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Centralityis afunction of the centrality of the vertices it is associated with0.90text
Centralityis ageneralization of degree centrality0.90text
Centralityis ageneric version of Betweenness Centrality0.90text
friendship or collaborationinstance ofWhen ties are associated to some positive aspects0.80text
indegree is often interpreted as a form of popularityinstance ofWhen ties are associated to some positive aspects0.80text
and outdegree as gregariousness.The degree centrality of a vertex vinstance ofWhen ties are associated to some positive aspects0.80text
road networksinstance ofCentrality measures used in transportation networksTransportation networks0.80text
railway networks are studied extensively in transportation scienceinstance ofCentrality measures used in transportation networksTransportation networks0.80text
urban planninginstance ofCentrality measures used in transportation networksTransportation networks0.80text
Betweenness Centralityinstance ofWhile many of these studies simply use generic centrality measures0.80text
custom centrality measures have also been defined specifically for transportation network analysisinstance ofWhile many of these studies simply use generic centrality measures0.80text
Centralityrelated to Betweenness centralityBetweenness0.60section

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