TY - JOUR
ID - 26896
TI - On the spectral radius, energy and Estrada index of the Sombor matrix of graphs
JO - Transactions on Combinatorics
JA - TOC
LA - en
SN - 2251-8657
AU - Lin, Zhen
AU - Zhou, Ting
AU - Miao, Lianying
AD - School of Mathematics and Statistics, Qinghai Normal University, 810008, Xining, P. R. China
The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Qinghai Normal University,
810008, Xining, P. R. China
AD - School of Mathematics, China University of Mining and Technology, 221116, Xuzhou, P. R. China
Y1 - 2023
PY - 2023
VL - 12
IS - 4
SP - 191
EP - 205
KW - Sombor matrix
KW - Sombor spectral radius
KW - Sombor energy
KW - Sombor Estrada index
DO - 10.22108/toc.2022.127710.1827
N2 - 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.
UR - https://toc.ui.ac.ir/article_26896.html
L1 - https://toc.ui.ac.ir/article_26896_ab1f533d12c78afa9542037d171aed60.pdf
ER -