Square Product Labeling of Cactus Graphs

Authors

Keerthi G. Mirajkar
Department of Mathematics, Karnatak University’s Karnatak Arts College, Dharwad-580001, Karnataka, India
Priyanka G. Sthavarmath
Department of Mathematics, Karnatak University’s Karnatak Arts College, Dharwad-580001, Karnataka, India

Synopsis

A graph G is said to be square product labeling if there exists a bijection f from V(G) to {1, 2, 3, ..., p} which induces f from E(G) to N defined by f (uv) = f (u)2f (v)2 is injective for each uv E(G), for which the resulting edges are distinctly labeled. G is considered to be a square product graph if it permits a square product labeling. In this article, the results are obtained on square product labeling for cactus graphs.

ICAMCS 2022
Published
October 10, 2022