Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-04-27
Physics
Condensed Matter
Statistical Mechanics
16 pages, 1 figure, 1 table
Scientific paper
10.1103/PhysRevE.72.046105
We introduce a quantitative measure of network bipartivity as a proportion of even to total number of closed walks in the network. Spectral graph theory is used to quantify how close to bipartite a network is and the extent to which individual nodes and edges contribute to the global network bipartivity. It is shown that the bipartivity characterizes the network structure and can be related to the efficiency of semantic or communication networks, trophic interactions in food webs, construction principles in metabolic networks, or communities in social networks.
Estrada Ernesto
Rodriguez-Velazquez Juan A.
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