.

ISSN 2063-5346
For urgent queries please contact : +918130348310

ANTI SKOLEM MEAN LABELING OF TRIANGULAR SNAKE GRAPHS

Main Article Content

B. Belsiya, Dr. S. Alice Pappa
» doi: 10.31838/ecb/2023.12.s2.375

Abstract

A graph G = (V, E) with p vertices and q edges where p < q + 1 is said to be an Anti Skolem Mean graph if it is possible to label the vertices x  V with distinct labels f(x) from {1, 2, … ,q + 1} in such a way that when each edge e = uv is labeled with f(e = uv) = f(u)+ f(v) 2 if f(u) + f(v) is even and f(u)+f(v)+1 2 if f(u) + f(v) is odd then the resulting edges are distinct labels from the set {2, 3, . . . , p}. In this case f is called an Anti Skolem Mean labeling of G. In this paper, we prove that Triangular Snake Graphs are Anti Skolem Mean graphs.

Article Details