Radio Labeling on Corona Product (Research on finite groups, algebraic combinatorics, and vertex algebras)

Abstract

This study aims to determine the labeling L(3, 2, 1) of the corona product graph of a circle graph Cₘ. The labeling L(3, 2, 1) was determined by calculating the lower bound and upper bound based on the maximum degree ∆. The results of the labeling L(3, 2, 1) of Cₘ ⊙ P₃ are 2∆ + 4 for even m, 2∆ + 5 for m = 3, 7, and 2∆ + 6 for odd m where m ≠ 3, 7.