Antimagicness of Tensor product for some wheel related graphs with star
Combinatorics
2024-05-08 v4
Abstract
A graph with vertices and edges has an antimagic labelling if there is a bijection from the graph's edge set to the label set such that vertices must have distinct vertex sums, where the vertex sums are determined by adding up all the edge labels incident to each vertex in . Hartsfield and Ringel \cite{Ringel1} in the book "Pearls in Graph Theory" conjectured that every connected graph is antimagic, with the exception of . In this study, we identified a class of connected graphs that lend credence to the conjecture. In this article, we proved that the tensor product of a wheel and a star, a helm and a star, and a flower and a star is antimagic.
Cite
@article{arxiv.2310.07114,
title = {Antimagicness of Tensor product for some wheel related graphs with star},
author = {Vinothkumar Latchoumanane and Murugan Varadhan},
journal= {arXiv preprint arXiv:2310.07114},
year = {2024}
}
Comments
28 pages, 3 figures