Bounds for the incidence Q-spectral radius of uniform hypergraphs

Peng-Li Zhang and Xiao-Dong Zhang

Applied Mathematics and Computation, 2025, vol. 490, issue C

Abstract: The incidence Q-spectral radius of a k-uniform hypergraph G with n vertices and m edges is defined as the spectral radius of the incidence Q-tensor Q⁎:=RIRT, where R is the incidence matrix of G, and I is an order k dimension m identity tensor. Since the (i1,i2,…,ik)-entry of Q⁎ is involved in the number of edges in G containing vertices i1,i2,…,ik simultaneously, more structural properties of G from the entry of Q⁎ than other commonly used tensors associated with hypergraphs may be discovered. In this paper, we present several bounds on the incidence Q-spectral radius of G in terms of degree sequences, which are better than some known results in some cases.

Keywords: Uniform hypergraph; Incidence Q-tensor; Spectral radius; Bounds (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:490:y:2025:i:c:s0096300324006623

DOI: 10.1016/j.amc.2024.129201

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