Skolem Mean Labeling Of Four Star Graphs K1,a K1,a K1,a K1,b where a1 a2 a3 3 b a1 a2 a3 2
Journal Title: International Journal of engineering Research and Applications - Year 2017, Vol 7, Issue 9
Abstract
A graph G = (V, E) with p vertices and q edges is said to be a skolem mean graph if there exists a function f from the vertex set of G to {1, 2, . . . , p} such that the induced map f* from the edge set of G to {2, 3, . . . , p} defined by f *(e uv) f (u) f ( v ) 2 f (u) f ( v ) 1 if f(u) + f(v) is even and 2 if f(u) + f(v) is odd, then the resulting edges get distinct labels from the set {2, 3, . . . , p}. In this paper, we prove that four star graph G K1,a K1,a K1,a K1,b where a1 a2 a3 is a skolem mean graph if a1 a2 a3 3 b a1 a2 a3 2 .
Authors and Affiliations
D. S. T. Ramesh, S. O. Sopna, I. Gnanaselvi
Keywords
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