Prime and Prime Cordial Labeling for Some Special Graphs
نویسنده
چکیده
A graph G(V,E) with vertex set V is said to have a prime labeling if its vertices are labeled with distinct integers 1, 2, . . . , |V | such that for each edge xy ∈ E the labels assigned to x and y are relatively prime. A prime cordial labeling of a graph G with vertex set V is a bijection f from V to {1, 2, . . . , |V |} such that if each edge uv is assigned the label 1 if gcd(f(u), f(v)) = 1 and 0 if gcd(f(u), f(v)) > 1, and the number of edges labeled with 0 and the number of edges labeled with 1 differ by atmost 1. Mathematics Subject Classification: 05C78
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