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Some graph product on (r, 2, k)-regular graphs

Journal: International Journal of Mathematics and Soft Computing (Vol.4, No. 2)

Publication Date:

Authors : ; ;

Page : 173-181

Keywords : (2; k)-regular graph; (r; 2; k)-regular graph; cartesian product; composition of graphs; join of graphs; strong cartesian product; strong tensor product; strong augumented product in graphs;

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Abstract

A graph $G$ is said to be $(2, k)$-regular if $d_2(v) = k,$ for all $v$ in $G.$ A graph $G$ is said to be $(r, 2, k)$-regular if $d(v) = r$ and $d_2(v) = k,$ for all $v$ in $G.$ In this paper, we study some graph products in $(2,k)$-regular graph and ($r, 2, k)$- regular graph.

Last modified: 2017-08-30 19:17:03