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Solution of limiting extremal problems for minimizing functionals

✍ Scribed by A. A. Gaivoronskii; A. N. Golodnikov; Ding Le Fung


Publisher
Springer US
Year
1980
Tongue
English
Weight
501 KB
Volume
16
Category
Article
ISSN
1573-8337

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## Abstract We consider the family of graphs with a fixed number of vertices and edges. Among all these graphs, we are looking for those minimizing the sum of the square roots of the vertex degrees. We prove that there is a unique such graph, which consists of the largest possible complete subgraph