@article {
author = {Lin, Zhen and Zhou, Ting and Miao, Lianying},
title = {On the spectral radius, energy and Estrada index of the Sombor matrix of graphs},
journal = {Transactions on Combinatorics},
volume = {12},
number = {4},
pages = {191-205},
year = {2023},
publisher = {University of Isfahan},
issn = {2251-8657},
eissn = {2251-8665},
doi = {10.22108/toc.2022.127710.1827},
abstract = {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 $d_i$ denotes the degree of vertex $v_i$ in $G$. In this paper, lower and upper bounds on the spectral radius, energy and Estrada index of the Sombor matrix of graphs are obtained, and the respective extremal graphs are characterized.},
keywords = {Sombor matrix,Sombor spectral radius,Sombor energy,Sombor Estrada index},
url = {https://toc.ui.ac.ir/article_26896.html},
eprint = {https://toc.ui.ac.ir/article_26896_ab1f533d12c78afa9542037d171aed60.pdf}
}