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The sum of the squares of degrees: an overdue assignement

Vladimir Nikiforov
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Abstract

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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Vladimir Nikiforov. 2006-09-28. The sum of the squares of degrees: an overdue assignement. https://arxiv.org/abs/math/0608660

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