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- W1569592107 abstract "For a connected nondirected graph, a centrality function is a real valued function of the vertices defined as a linear combination of the numbers of the vertices classified according to the distance from a given vertex. Some fundamental properties of the centrality functions and the set of central vertices are summarized. Inserting an edge between a center and a vertex, the stability of the set of central vertices are investigated. For a weakly connected directed graph, we can prove similar theorems with respect to a generalized centrality function based on a new definition of the modified distance from a vertex to another vertex." @default.
- W1569592107 created "2016-06-24" @default.
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- W1569592107 date "1981-01-01" @default.
- W1569592107 modified "2023-09-27" @default.
- W1569592107 title "On centrality functions of a graph" @default.
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- W1569592107 doi "https://doi.org/10.1007/3-540-10704-5_5" @default.
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