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Sombor characteristic values of cographs
Zahid Raza1, Bilal Ahmad Rather1,2, Muhammad Imran3
1Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates.
Abstract:
A unique class of cograph is examined, that is defined recursively as , and , for . The Sombor spectrum of C 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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