@article{Suleiman_Kiri_2022, title={ON INDEPENDENCE POLYNOMIALS OF QUOTIENT BASED GRAPHS FOR FINITE ABELIAN GROUPS: ON INDEPENDENCE POLYNOMIALS OF QUOTIENT}, volume={41}, url={https://ojs.ictp.it/jnms/index.php/jnms/article/view/914}, abstractNote={<p>In this paper we investigated the independence polynomial of quotient based graph {\LARGE${\varphi}$}$_{\scriptscriptstyle H}({ G } )$ of an abelian group $G$ relative to all it's subgroups since a subgroup $H$ of an abelian group is normal . The graph {\LARGE${\varphi}$}$_{\scriptscriptstyle H}({ G } )$ is a graph with condition of adjacency where two distinct elements $x,y \in G$ are adjacent in the graph iff $xy otin H$. A formula for computing the independence polynomial is obtained.</p>}, number={3}, journal={Journal of the Nigerian Mathematical Society}, author={Suleiman, Aliyu and Kiri, Aliyu}, year={2022}, month={Dec.}, pages={313–323} }