On the spectral radius, energy and Estrada index of the Sombor matrix of graphs
Let $G$ be a simple undirected graph with vertex set $V(G)=\{v_1, v_2,\ldots,v_n\}$ and edge set $E(G)$. The Sombor matrix $\mathcal{S}(G)$ of a graph $G$ is defined so that its $(i,j)$-entry is equal to $\sqrt{d_i^2+d_j^2}$ if the vertices $v_i$ and $v_j$ are adjacent, and zero otherwise, where $d_...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2023-12-01
|
| Series: | Transactions on Combinatorics |
| Subjects: | |
| Online Access: | https://toc.ui.ac.ir/article_26896_ab1f533d12c78afa9542037d171aed60.pdf |