Degree-Magic Labellings on Graphs Generalizing the Double Graph of the Disjoint Union of a Graph

Authors

  • Phaisatcha Inpoonjai Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Chiang Rai, Chiang Rai

DOI:

https://doi.org/10.26713/cma.v12i3.1558

Keywords:

Double graphs, Supermagic graphs, Degree-magic graphs

Abstract

A graph \(G\) is called supermagic if it admits a labelling of the edges by pairwise different consecutive positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. A graph \(G\) is called degree-magic if it admits a labelling of the edges by integers \(1,2,\ldots,|E(G)|\) such that the sum of the labels of the edges incident with any vertex \(v\) is equal to \((1+|E(G)|)\deg(v)/2\). In this paper, some constructions of degree-magic labellings of some graphs obtained by generalizing the double graph of the disjoint union of a graph are presented. As a result, some supermagic graphs are obtained.

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References

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Published

30-09-2021
CITATION

How to Cite

Inpoonjai, P. (2021). Degree-Magic Labellings on Graphs Generalizing the Double Graph of the Disjoint Union of a Graph. Communications in Mathematics and Applications, 12(3), 569–580. https://doi.org/10.26713/cma.v12i3.1558

Issue

Vol. 12 No. 3 (2021)

Section

Research Article

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