TY - JOUR
AU - Suleiman, Aliyu
AU - Kiri, Aliyu
PY - 2022/12/27
Y2 - 2023/02/08
TI - ON INDEPENDENCE POLYNOMIALS OF QUOTIENT BASED GRAPHS FOR FINITE ABELIAN GROUPS: ON INDEPENDENCE POLYNOMIALS OF QUOTIENT
JF - Journal of the Nigerian Mathematical Society
JA - JNMS
VL - 41
IS - 3
SE - Articles
DO -
UR - https://ojs.ictp.it/jnms/index.php/jnms/article/view/914
SP - 313 - 323
AB - <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>
ER -