ABSOLUTE MEAN GRACEFUL LABELING IN THE CONTEXT OF m-SPLITTING AND DEGREE SPLITTING GRAPHS

V. J. Kaneria; J. M. Shah

doi:10.56827/SEAJMMS.2023.1903.28

ABSOLUTE MEAN GRACEFUL LABELING IN THE CONTEXT OF m-SPLITTING AND DEGREE SPLITTING GRAPHS

V. J. Kaneria Department of Mathematics, Saurashtra University, Rajkot- 360005, Gujarat, INDIA
J. M. Shah Department of Mathematics, Saurashtra University, Rajkot- 360005, Gujarat, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.28

Keywords: Absolute mean graceful labeling, m-splitting graph, splitting graph, degree splitting graph.

Abstract

A graph G with q edges is said to be absolute mean graceful if there is a one-to-one function f from V (G) to the set {0,±1,±2,±3,...,±q} such that when each edge xy is assigned the label |f(x)−f(y)| 2 , then the resulting edge labels are distinct. In this paper, the absolute mean graceful labeling of m-splitting and degree splitting graphs of some graphs are investigated.

Published

2023-12-30

Issue

Vol 19 No 03 (2023): South East Asian J. of Mathematics and Mathematical Sciences

Section

Research Article

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.