Pair Difference Cordial Labeling of $m-$ copies of Path, Cycle, Star, and Ladder Graphs

Abstract

In this paper, we consider only finite, undirected, and simple graphs. The concept of cordial labeling was introduced by Cahit[4]. Different types of cordial-related labeling were studied in [1, 2, 3, 5, 16]. In a similar line, the notion of pair difference cordial labeling of a graph was introduced in [8]. The pair difference cordial labeling behavior of several graphs like path, cycle, star, wheel, triangular snake, alternate triangular snake, butterfly, ladder, Mobius ladder, slanting ladder, and union of some graphs have been investigated in [ 8, 9, 10, 11, 12, 13, 14, 15]. The $m-$ copies of a graph $G$ is denoted by $mG$ [7]. In this paper, we investigate the pair difference cordial labeling behavior of $m-$ copies of Path, Star, Cycle, and Ladder graphs.