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Extremal problems for a class of symmetric functions

โœ Scribed by Renate McLaughlin


Publisher
Springer
Year
1972
Tongue
English
Weight
419 KB
Volume
44
Category
Article
ISSN
0003-9527

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Minimizer graphs for a class of extremal
โœ Dan Ismailescu; Dan Stefanica ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 93 KB ๐Ÿ‘ 2 views

## 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