Beyond the Expanders

Details Beyond the Expanders Beyond the Expanders

2011-01-31

arxiv.org/abs/1101.5926v2

Mathematics

Combinatorics

Replacement is because of revised argument in Section 3 and adding new Section 4

Scientific paper

Expander graphs are widely used in communication problems and construction of error correcting codes. In such graphs, information gets through very quickly. Typically, it is not true for social or biological networks, though we may find a partition of the vertices such that the induced subgraphs on them and the bipartite subgraphs between any pair of them exhibit regular behavior of information flow within or between the subsets. Implications between spectral and regularity properties are discussed.

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