Some Edge-Graph Parameters on Modular Product of Graphs

摘要

The Modular Product G_1 ο G_2 of graph of G_1 and G_2 has vertex set V(G_1 ο G_2) = V(G_1) × V(G_2) and edge set E(G_1 ο G_2) = {(u_1,v_1)(u_2, v_2) | [u_1u_2 ∈ E(G_1) and v_1v_2 ∈ E(G_2)] or [u_1u_2 {is not an element of} E(G_1) and v_1v_2 {is not an element of} E(G_2)]}. In this paper, we determine generalization of some edge - graph parameters on modular product of complete bipartite graphs and any simple graphs.