Research Article
DOI: https://doi.org/10.61336/jcm2023-7

Antimagic Behavior of \(SG^p_n\) and its Subdivision

Volume 48 (2023)
Pages: 65-68
Open Access
Download

M. Awais\(^{1,2}\), Zulfiqar Ahmed\(^{1}\), C. Y. Jung\(^{3*}\)

\(^{1}\) School of Engineering and Applied Sciences, Department of Computer Science, GIFT University, Gujranwala, Pakistan
\(^{2}\) School of Mathematics and Statistics, Southwest University, Chongqing, China
\(^{3}\)Gyeongsang National University, Jinju 52828, Korea

Received: 02/01/2023
Revised: 23/10/2023
Accepted: 02/11/2023
Published: 05/11/2023

Abstract

A finite simple graph G with a subgraph H is called a super (b, d)-H-antimagic: if G has an edge covering by subgraphs H1,H2, . . . ,Ht with each Hi∼= H, i = 1, 2, . . . , t, a total labeling α such that wtαH, constitutes an arithmetic progression
and α(V (G)) consists of the smallest possible integers. In this manuscript, we investigated the existence of super (b, 1)- star-antimagic labeling of Sun graphs \(SG^p_n\)

Keywords: 1)-\(S_p+2\)-antimagic, Star graph \(S_n\), Sun graph \(SG^p_n\), super (b

Copyright © 2023 M. Awais, Zulfiqar Ahmed, C. Y. Jung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.