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New classes of reverse super edge magic graphs
AIMS Mathematics 2022, 7(3): 3590-3602
Published: 15 March 2021
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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.

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