Sombor characteristic values of cographs.

Heliyon

Department of Mathematical and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi Arabia.

Published: October 2024

A unique class of cograph is examined, that is defined recursively as , and , for . The Sombor spectrum of 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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11489371PMC
http://dx.doi.org/10.1016/j.heliyon.2024.e38578DOI Listing

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