Skolem difference Fibonacci mean labeling of H class of graphs

Meenakshi sundaram Sundaram, A Nagarajan

Abstract


A graph G with p vertices and q edges is said to have Skolem difference Fibonacci mean labeling if it is possible to label the vertices x 15∈">  V with distinct elements f(x) from the set {1,2,...,Fp+q}  in such a way that the edge e = uv is labelled with 15 fu-f(v)2">  if         15fu-f(v)">  is even and  if  is odd and the resulting edge labels are distinct and are from Fibonacci numbers {F1, F2,...,Fq}, where F1=1 and F2 = 2. A graph that admits Skolem difference Fibonacci mean labeling is called a Skolem difference Fibonacci mean graph. In this paper, we prove that H-class of graphs are Skolem difference Fibonacci mean graphs.

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References


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