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All Journal Jambura Journal of Mathematics
Karim, Akar H.
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Mathematics

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Mev-polynomial and K Banhatti Indices of Some Hat-graphs Karim, Akar H.; Ramadan, Ayad M.
Jambura Journal of Mathematics Vol 8, No 1: February 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i1.35382

Abstract

A graph polynomial that has taken several attentions is M-polynomial due to it's significant a considerable number of studies have been conducting on it, moreover some other versions of this polynomial have been defined. In this paper an new version of M-polynomial is presented that will be known as Mve-Polynomial which is an extension of the notation of M-polynomial for comparison between vertices and corresponding adjacent edges. Then we investigate the mathematical relationship between Mve-Polynomial and two resent defined topological indices: first and second K Banhatti indices. Next, we establish explicit formulas for the Mve-Polynomial of some graphs in the family of hat-graphs with it's plots for special number of vertices. From these results we further deduce the corresponding K Banhatti indices.
Co-Authors Ramadan, Ayad M.