Path Related Product Cordial Graph

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Year:
2014
Type of Publication:
Article
Keywords:
Fan, Comb, Join of Two Graphs, Product Cordial Labeling, Product Cordial Graph
Authors:
A. Nellai Murugan; A. Meenakshi Sundari
Journal:
IJISM
Volume:
2
Number:
4
Pages:
381-383
Month:
July
Abstract:
Let G = (V,E) be a graph with p vertices and q edges. A Product cordial labeling of a Graph G with vertex set V is a bijection from V to {0,1} such that if each edge uv is assigned the label (f(u).f(v)) with the condition the number of vertices labeled with 0 and the number of vertices labeled with 1 differ by atmost 1and the number of edges labeled with 0 and the number of edges labeled with 1 differ by atmost 1. The graph that admits a product cordial labeling is called a product cordial graph (PCG). In this paper, we proved that path related graphs Path Pn , Fan Pn+K1 , [Pn : Sm] : (n - even) , comb Pn K1 , [Pn : Cm]: (n-even) are product cordial graphs.

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