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The ultracenter and central fringe of a graph
Networks, 2001AbstractThe central distance of a central vertex v in a connected graph G with rad G < diam G is the largest nonnegative integer n such that whenever x is a vertex with d(v, x) ≤ n then x is also a central vertex. The subgraph induced by those central vertices of maximum central distance is the ultracenter of G.
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Closeness Centrality on Uncertain Graphs
ACM Transactions on the Web, 2023Centrality is a family of metrics for characterizing the importance of a vertex in a graph. Although a large number of centrality metrics have been proposed, a majority of them ignores uncertainty in graph data. In this article, we formulate closeness centrality on uncertain graphs and define the batch closeness centrality evaluation ...
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Abstract.— The paper considers the concept of centrality in an undirected graph. A system of axioms and an index for centrality satisfying the axioms are presented. The index is based on the degrees of the vertices in a given undirected graph, and it will enlarge the class of comparable graphs with respect to a centrality measure.
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