• SOME STAR AND BISTAR RELATED SIGNED PRODUCT CORDIAL GRAPHS

Abstract

A vertex labeling f: V(G)→{-1, 1} of a graph G with induced edge labeling f^*:E(G)→ {-1, 1} defined by                  f^*(uv) = f(u)f(v) is called a signed product cordial labeling if and where v_f (-1) is the number of vertices labeled with ‘-1’ and v_f (1) is the number of vertices labeled with ‘+1’, e_f(-1) is the number of edges labeled with ‘-1’ and e_f(1) is the number of edges labeled with ‘+1’.A graph with a signed product cordial labeling is called a signed product cordial graph. In this paper, we prove that splitting graphs of star K_1,n and Bistar B_n,n are signed product cordial graphs.