The sum of the squares of degrees: an overdue assignement

Details The sum of the squares of degrees: an overdue assignement The sum of the squares of degrees: an overdue assignement

2006-08-26

arxiv.org/abs/math/0608660v2

Mathematics

Combinatorics

Removed some terrible mistakes from the first version

Scientific paper

Let f(n,m) be the maximum of the sum of the squares of degrees of a graph
with n vertices and m edges. Summarizing earlier research, we present a
concise, asymptotically sharp upper bound on f(n,m), better than the bound of
de Caen for almost all n and m.

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