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. (
β¦ LIBER β¦
A relationship between bounds on the sum of squares of degrees of a graph
β Scribed by Yeon Soo Yoon; Ju Kyung Kim
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- English
- Weight
- 188 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1598-5865
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