Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.06322 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913933150912512 |
|---|---|
| author | Kurian, Liya Jess A. V, Chithra |
| author_facet | Kurian, Liya Jess A. V, Chithra |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06322 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Estrada Index and Spectral Properties of $k$-Uniform Hypergraphs Kurian, Liya Jess A. V, Chithra Combinatorics 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. |
| title | On the Estrada Index and Spectral Properties of $k$-Uniform Hypergraphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2507.06322 |