H-Magic Labelings of Graphs under Abelian Groups

Abstract

H-Groupmagic Labelings of Graphs under Abelian Groups In this thesis, we find the K2-groupmagic total labeling of unicyclic Cm∆Snj underabelian group Z2 ×Z(nj+1)m, for all m ≥ 3 and 1 ≤ j ≤ m and nj = n ≥ 1. we also prove that if a graph G(v,e) has super edge magic total labeling, then we can extend this labeling to K2-groupmagic total labeling under abelian group Z2 ×Zv. We also extend C3-supermagic labelings to C3-groupmagic total labeling under abelian group Z3×Zv. At the end, we also find C3-groupmagic total labeling of Anti prism graphs under abelian group Z3×Zv