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arXiv · 2507.06322

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

Liya Jess Kurian·Chithra A. V
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Abstract

Various properties of a hypergraph can be explored through its spectrum. In this paper,we estimate the bound for the sum of $t,\,t\in[1,n]$, 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.

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Liya Jess Kurian, Chithra A. V. 2025-07-08. On the Estrada Index and Spectral Properties of $k$-Uniform Hypergraphs. https://arxiv.org/abs/2507.06322

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