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

Document Type : Research Paper


1 Department of Mathematics Sri Parakalyani College Alwarkurichi -627 412, India

2 Research Scholor,Reg.No:20124012092023 Department of Mathematics Manonmaniam Sundaranar University, Abhishekapati,Tirunelveli–627 012, India

3 Head, Department of Mathematis Thiruvalluvar University College of Arts and Science Tittagudi Tamilnadu ,India



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.