Functional centrality in graphs

Mathematics – Combinatorics

Scientific paper

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Scientific paper

10.1080/03081080601002221

In this paper we introduce the functional centrality as a generalization of
the subgraph centrality. We propose a general method for characterizing nodes
in the graph according to the number of closed walks starting and ending at the
node. Closed walks are appropriately weighted according to the topological
features that we need to measure.

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