Geodesic
Spectral radius and energy of Sombor matrix of graphs
Filomat, Tome 35 (2021) no. 15, p. 5093

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

Let G be a graph of order n. For i = 1, 2,. .. , n, let d i be the degree of the vertex v i of G. The Sombor matrix A so of G is defined so that its (i, j)-entry is equal to d 2 i + d 2 j if the vertices v i and v j are adjacent, and 0 otherwise. The spectral radius η 1 and the energy E so of A so are examined. In particular, upper bounds on E so are obtained, as well as Nordhaus–Gaddum–type results for η 1 and E so .
DOI : 10.2298/FIL2115093W
Classification : 05C09, 05C92
Keywords: Graph spectrum, Sombor matrix, Sombor spectral radius, Sombor energy, Nordhaus–Gaddum type result 
Zhao Wang; Yaping Mao; Ivan Gutman; Jichang Wu; Qin Ma. Spectral radius and energy of Sombor matrix of graphs. Filomat, Tome 35 (2021) no. 15, p. 5093 . doi: 10.2298/FIL2115093W
@article{10_2298_FIL2115093W,
     author = {Zhao Wang and Yaping Mao and Ivan Gutman and Jichang Wu and Qin Ma},
     title = {Spectral radius and energy of {Sombor} matrix of graphs},
     journal = {Filomat},
     pages = {5093 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115093W},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115093W/}
}
TY  - JOUR
AU  - Zhao Wang
AU  - Yaping Mao
AU  - Ivan Gutman
AU  - Jichang Wu
AU  - Qin Ma
TI  - Spectral radius and energy of Sombor matrix of graphs
JO  - Filomat
PY  - 2021
SP  - 5093 
VL  - 35
IS  - 15
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2115093W/
DO  - 10.2298/FIL2115093W
LA  - en
ID  - 10_2298_FIL2115093W
ER  - 
%0 Journal Article
%A Zhao Wang
%A Yaping Mao
%A Ivan Gutman
%A Jichang Wu
%A Qin Ma
%T Spectral radius and energy of Sombor matrix of graphs
%J Filomat
%D 2021
%P 5093 
%V 35
%N 15
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2115093W/
%R 10.2298/FIL2115093W
%G en
%F 10_2298_FIL2115093W

Cité par Sources :