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Research Article | Open Access

New classes of reverse super edge magic graphs

Kotte Amaranadha ReddyS Sharief Basha( )
Department of Mathematics, Vellore Institute of Technology, Vellore, India
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Abstract

A reverse edge magic (REM) labeling of a graph G ( V , E ) with p vertices and q edges is a bijection f : V ( G ) E ( G ) { 1 , 2 , , p + q } such that k = f ( u v ) { f ( u ) + f ( v ) } is a constant k for any edge u v E ( G ) . A REM labeling f is called reverse super edge magic (RSEM) labeling if f ( V ( G ) ) = { 1 , 2 , 3 , 4 , 5 , , v } and f ( E ( G ) ) = { v + 1 , v + 2 , v + 3 , v + 4 , v + 5 , , v + e } . In this paper, we find some new classes of RSEM labeling and the investigation of the connection between the RSEM labeling and different classes of labeling.

CLC number: 37E25, 05C38

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AIMS Mathematics
Pages 3590-3602

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Cite this article:
Reddy KA, Basha SS. New classes of reverse super edge magic graphs. AIMS Mathematics, 2022, 7(3): 3590-3602. https://doi.org/10.3934/math.2022198

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Received: 23 June 2021
Accepted: 30 November 2021
Published: 15 March 2021
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)