On The Complement of the Boolean Function Graph B( , NINC, L(G)) of a Graph

T. N. Janakiraman, S. Muthammai, M. Bhanumathi


Volume :1 , Issue :2 ,Page :96-101



Abstract :For any graph G, let V(G) and E(G) denote the vertex set and edge set of G respectively. The Boolean function graph B(  K p , NINC, L(G)) of G is a graph with vertex set V(G)  E(G) and two vertices in B(  K p , NINC, L(G)) are adjacent if and only if they correspond to two adjacent edges of G or to a vertex and an edge not inci dent to it in G. For brevity, this graph is denoted by B 2 (G). In this paper, structural properties of the complement  B 2 (G) of B 2 (G) including traversability and eccentricity properties are stud ied. Also covering, inde pendence and chromatic numbers are determined.



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