On the spread of random graphs

The spread of a connected graph G was introduced by Alon, Boppana and Spencer (1998) and measures how tightly connected the graph is. It is defined as the maximum over all Lipschitz functions f on V(G) of the variance of f(X) when X is uniformly distributed on V(G). We investigate the spread for cer...

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Bibliographic Details
Main Authors: Addario-Berry, L, Janson, S, McDiarmid, C
Format: Journal article
Language:English
Published: Cambridge University Press 2009