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A class of stochastic extremal problems with rare events

โœ Scribed by A. N. Nakonechnyi


Publisher
Springer US
Year
1988
Tongue
English
Weight
430 KB
Volume
24
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