On Super Antimagic Total Labeling of Harary Graph

M. Hussain1, Edy Tri Baskoro1,2, Kashif Ali1
1School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore, Pakistan
2Combinatorial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung Jl. Ganesa 10 Bandung 40132, Indonesia

Abstract

This paper deals with two types of graph labelings, namely, the super \((a, d)\)-edge antimagic total labeling and super \((a, d)\)-vertex antimagic total labeling on the Harary graph \(C_n^t\). We also construct the super edge-antimagic and super vertex-antimagic total labelings for a disjoint union of \(k\) identical copies of the Harary graph.