Stability of the Centrality of Unions of Networks on the Same Vertex Set

Chuan Wen; Loe; Henrik Jeldtoft Jensen

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arXiv · 1309.6629

Stability of the Centrality of Unions of Networks on the Same Vertex Set

Chuan Wen·Loe·Henrik Jeldtoft Jensen

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Abstract

Let $G^1(V,E_1)$ and $G^2(V,E_2)$ be two networks on the same vertex set $V$ and consider the union of edges $G(V, E_1 \cup E_2)$. This paper studies the stability of the Degree, Betweenness and Eigenvector Centrality of the resultant network, $G(V, E_1 \cup E_2)$. Specifically assume $v^1_{max}$ and $v^c_{max}$ are the highest centrality vertices of $G^1(V,E_1)$ and $G(V, E_1 \cup E_2)$ respectively, we want to find $Pr(v^1_{max} = v^c_{max})$.

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Chuan Wen, Loe, Henrik Jeldtoft Jensen. 2013-09-25. Stability of the Centrality of Unions of Networks on the Same Vertex Set. https://arxiv.org/abs/1309.6629

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