期刊
JOURNAL OF MATHEMATICAL CHEMISTRY
卷 47, 期 4, 页码 1209-1223出版社
SPRINGER
DOI: 10.1007/s10910-009-9635-0
关键词
Centrality; Betweenness; Shortest-path centrality; Resistance-distance centrality; Graph metrics; Neighborliness centrality
资金
- Welch Foundation of Houston, Texas [BD-0894]
Centrality of an edge of a graph is proposed to be viewed as a degree of global sensitivity of a graph distance function (i.e., a graph metric) on the weight of the considered edge. For different choices of distance function, contact is made with several previous ideas of centrality, whence their different characteristics are clarified, and strengths or short-comings are indicated, via selected examples. The centrality based on resistance distance exhibits several nice features, and might be termed amongness centrality.
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