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arXiv:2611.01957 · v1

Theoretical relations between basic centrality measures in real-world networks

首次提交 2026-11-01 22:44
版本更新 2026-11-01 22:44
雷达观测 2026-11-04 23:43
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摘要

We establish new relationships among several fundamental measures of real-world networks, including the average clustering coefficient, the global clustering coefficient, the average shortest-path length and degree centrality, closeness centrality, betweenness centrality and ksi-centrality. We further develop the theory of $j$-neighborhood centrality, which encompasses degree centrality and ksi-centrality as special cases.

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v1 · 2026-11-01 22:44 · 最新观测版本

Theoretical relations between basic centrality measures in real-world networks

We establish new relationships among several fundamental measures of real-world networks, including the average clustering coefficient, the global clustering coefficient, the average shortest-path length and degree centrality, closeness centrality, betweenness centrality and ksi-centrality. We further develop the theory of $j$-neighborhood centrality, which encompasses degree centrality and ksi-centrality as special cases.

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