On Lagrangians of Hypergraphs and Cliques

Lecture Notes in Electrical Engineering(2012)

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摘要
Motzkin and Straus establishes a remarkable connection between the maximum clique problem and the Lagrangian of a graph in [4]. It is useful in practice if similar results hold for hypergraphs. In this paper, we provide evidence that the Lagrangian of a 3-uniform hypergraph is related to the size of its maximum cliques under some conditions. © 2012 Springer-Verlag GmbH.
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