An upper bound on the sum of squares of
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D. de Caen
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Article
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1998
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Elsevier Science
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English
β 163 KB
Let G be a simple graph with n vertices, e edges and vertex degrees &, d2 ..... d~. It is proved that d2+ ... +d~<~e(2e/(n-1)+ n-2) when n~>2. This bound does not generalize to all sequences of positive integers. A comparison is made to another upper bound on d 2 +. β’ -+ d 2, due to Sz6kely et al. (