• 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 vf (-1) is the number of vertices labeled with ‘-1’ and vf (1) is the number of vertices labeled with ‘+1’, ef(-1) is the number of edges labeled with ‘-1’ and ef(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 K1,n and Bistar Bn,n are signed product cordial graphs.
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