On the Estrada Index and Spectral Properties of k-Uniform Hypergraphs

2025/07/08 by Kurian, Liya Jess, A., Chithra
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.06322

Abstract

Various properties of a hypergraph can be explored through its spectrum. In this paper,we estimate the bound for the sum of t, t∈[1,n], largest eigenvalues of a k-uniform hypergraph of order n. Also, we characterize the k-uniform hypergraph with two distinct eigenvalues. We establish bounds for the Estrada index of k-uniform hypergraphs based on their number of edges, order and energy. In addition, we obtain the second largest Estrada index among the unicyclic hypergraphs.

Citations

• On the spectrum of hypergraphs
• Spectra of uniform hypergraphs

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