Arithmetic Sequential Graceful Labeling on Star Related Graphs

Abstract

Objectives: To identify a new family of Arithmetic sequential graceful graphs. Methods: The methodology involves mathematical formulation for labeling of the vertices of a given graph and subsequently establishing that these formulations give rise to arithmetic sequential graceful labeling. Findings: In this study, we analyzed some star related graphs namely Star graph, Ustar, t-star, and double star proved that these graphs possess Arithmetic sequential graceful labeling. Novelty: Here, we introduced a new labeling called Arithmetic sequential graceful labeling and we give Arithmetic sequential graceful labeling to some star related graphs.