On the Estrada Index and Spectral Properties of $k$-Uniform Hypergraphs
Combinatorics
2025-07-10 v1
Abstract
Various properties of a hypergraph can be explored through its spectrum. In this paper,we estimate the bound for the sum of , largest eigenvalues of a -uniform hypergraph of order . Also, we characterize the -uniform hypergraph with two distinct eigenvalues. We establish bounds for the Estrada index of -uniform hypergraphs based on their number of edges, order and energy. In addition, we obtain the second largest Estrada index among the unicyclic hypergraphs.
Keywords
Cite
@article{arxiv.2507.06322,
title = {On the Estrada Index and Spectral Properties of $k$-Uniform Hypergraphs},
author = {Liya Jess Kurian and Chithra A.},
journal= {arXiv preprint arXiv:2507.06322},
year = {2025}
}