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Alsad L. Lahaman, Benjier H. Arriola, Jeffrey Imer C. Salim, Regimar A. Rasid,
Convex Neighborhood Polynomial of Generalized Wheel.
Int. J. Math. Comput. Sci., 20, no. 1, (2025), 161-164

DOI:

https://doi.org/10.69793/ijmcs/01.2025/regimar

Keywords and phrases:

Convex set, convex neighborhood polynomial.

Abstract:

Graph polynomials have captured the attention of applied mathematicians because of the applications of these polynomials in other fields of sciences such as Chemistry, Biology, and Physics \cite{ELL}. In 2014, Artes and Laja \cite{LAJ1} introduced a pioneering work on convex subgraph polynomials which represents the number of convex subgraphs in a given graph structure. In 2022, Artes, Langamin, and Calib-og \cite{ART} introduced a bivariate graph polynomial called the clique common neighborhood polynomial of a graph by considering the common neighborhood system of a clique in a graph. In 2023, Arriesgado, Salim and Artes Jr. \cite{ARR} investigated the clique connected common neighborhood polynomial of the join of graphs.