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arXiv · 2611.09357

On the Motzkin-Straus theorem and clique number for k-uniform hypergraphs

Chunli Deng·Shaohuan Hao·Haifeng Li
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Abstract

In this paper, we establish a Motzkin-Straus type equality for k-uniform hypergraphs under certain conditions, which extends the classical Motzkin--Straus theorem for graphs. Using this equality, we present several spectral bounds for the clique number of k-uniform hypergraphs in terms of the spectral radii of the adjacency, signless Laplacian, and Laplacian tensors. When k=2, the bounds coincide with the corresponding known results for graphs.

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Chunli Deng, Shaohuan Hao, Haifeng Li. 2026-11-06. On the Motzkin-Straus theorem and clique number for k-uniform hypergraphs. https://arxiv.org/abs/2611.09357

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