Article

Sombor characteristic values of cographs

Zahid RazaDepartment of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab EmiratesBilal Ahmad RatherDepartment of Applied Mathematics, School of Engineering, Samarkand International University of Technology, Samarkand 140100, UzbekistanMuhammad ImranDepartment of Mathematical and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia

Heliyonjournal2024en

ABI

Abstract

is calculated, the Sombor spectral radius and establish the sharp bounds for the Sombor index, and the greatest and smallest Sombor characteristic values. We present results on the Sombor energy of cographs and identify the graphs that reach the inequalities. Also, we characterize cographs with simple Sombor characteristic values and cographs with unique characteristic values.

Topics

Graph theory and applications Limits and Structures in Graph Theory Advanced Graph Theory Research

Identifiers

DOI: 10.1016/j.heliyon.2024.e38578

Citations and references

Cited by 1 22 references

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