Vol. 1, Issue 10, Part N (2015)

Abstract
For any (p, q) graph G, a line graph L(G) is obtained from G by taking each edge as a vertex in L(G). The regular number of the L(G) is the minimum number of subsets into which the edge set of L(G) should be partitioned so that the sub graph induced by each subset is regular and is denoted by r__L(G). In this paper some results on regular number of r__L(G) were obtained and expressed in terms of elements of G.