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arXiv · 1311.1062

On the largest graph-Lagrangians of hypergraphs

Qingsong Tang·Yuejian Peng·Xiangde Zhang·Cheng Zhao
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Abstract

Frankl and Füredi (1989) conjectured that the $r$-graph with $m$ edges formed by taking the first $m$ sets in the colex ordering of ${\mathbb N}^{(r)}$ has the largest graph-Lagrangian of all $r$-graphs with $m$ edges. In this paper, we establish some bounds for graph-Lagrangians of some special $r$-graphs that support this conjecture.

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Qingsong Tang, Yuejian Peng, Xiangde Zhang, Cheng Zhao. 2014-08-23. On the largest graph-Lagrangians of hypergraphs. https://arxiv.org/abs/1311.1062

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