Semi strong outer mod sum Cayley graphs

Let A be an abelian group generated by a ۲-element set S=\{a, b: a^m=b^n=e, m,n\ge ۲\}, 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_{۲k+۱,۲l+۱}, \Gamma_{۲, ۲+l} and \Gamma_{۲k+۱, ۶} are Semi Strong Outer Mod Sum Graphs, and \Gamma_{k, l} is Anti-Outer Mod Sum Graph, for every k,l\in \mathbb{Z}^+.

کلیدواژه ها:

Cayley graphs ، Mod sum labeling ، Outer mod sum labeling ، Outer sum labeling ، Sum labeling