Semi strong outer mod sum Cayley graphs

Document Type : Research Paper

Authors

Department of Mathematics, Dr. Ambedkar Institute of Technology, B.D.A. Outer Ring Road, Malallahalli, Bengaluru, India.

Abstract

Let $A$ be an abelian group generated by a $2$-element set $S=\{a, b: a^m=b^n=e, m,n\ge 2\}$, where $e$ is the identity element of $A$. Let $\Gamma_{m,n}=Cay_g(A, S)$ be the undirected Cayley graph of $A$ associated with $S$. In this paper, it is shown that $\Gamma_{2k+1,2l+1}$, $\Gamma_{2, 2+l}$ and $\Gamma_{2k+1, 6}$ are Semi Strong Outer Mod Sum Graphs, and $\Gamma_{k, l}$ is Anti-Outer Mod Sum Graph, for every $k,l\in \mathbb{Z}^+$.

Keywords

References

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Algebraic Structures and Their Applications
Volume 11, Issue 3
August 2024
Pages 243-253

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