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Antimagicness of tensor product for some wheel related graphs with star.

Authors :
Latchoumanane, Vinothkumar
Varadhan, Murugan
Source :
Asian-European Journal of Mathematics; Oct2024, Vol. 17 Issue 10, p1-34, 34p
Publication Year :
2024

Abstract

A graph G with p vertices and q edges has antimagic labeling if there is a bijection from the edge set of the graph to the label set { 1 , 2 , ... , q } such that p vertices must have distinct vertex sums, where the vertex sums are determined by adding up all the edge labels incident to each vertex v in V (G). Hartsfield and Ringel conjectured that every connected graph is antimagic, except P 2 . In this study, we identified a class of connected graphs that lend credence to this conjecture. In this paper, we proved that the tensor product of a Wheel Graph, Helm Graph, and Flower graph with Star is antimagic. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17935571
Volume :
17
Issue :
10
Database :
Complementary Index
Journal :
Asian-European Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
179412500
Full Text :
https://doi.org/10.1142/S1793557124500499