Vertex Decomposition of Steiner Wiener Index and Steiner Betweenness Centrality
Autor: | Kovše, Matjaž |
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Rok vydání: | 2016 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | A formula based on a vertex contributions of the Steiner $k$-Wiener index is induced by a newly introduced $k$-Steiner betweenness centrality, which measures the number of $k$-Steiner trees that include a particular vertex as a non-terminal vertex. This generalizes \v{S}krekovski and Gutman's Vertex version of the Wiener Theorem and a result of Gago on the average betweenness centrality and the average distance in general graphs. Comment: 11 pages |
Databáze: | arXiv |
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