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arXiv · 2007.13282

The bounds of the spectral radius of general hypergraphs in terms of clique number

Cunxiang Duan·Ligong Wang
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Abstract

The spectral radius (or the signless Laplacian spectral radius) of a general hypergraph is the maximum modulus of the eigenvalues of its adjacency (or its signless Laplacian) tensor. In this paper, we firstly obtain a lower bound of the spectral radius (or the signless Laplacian spectral radius) of general hypergraphs in terms of clique number. Moreover, we present a relation between a homogeneous polynomial and the clique number of general hypergraphs. As an application, we finally obtain an upper bound of the spectral radius of general hypergraphs in terms of clique number.

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Cunxiang Duan, Ligong Wang. 2020-07-27. The bounds of the spectral radius of general hypergraphs in terms of clique number. https://arxiv.org/abs/2007.13282

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