On (4, 2)-Labeling of Certain Graphs

Authors

DOI:

https://doi.org/10.26713/cma.v14i5.2191

Keywords:

Graph labeling, Path, Cycle, Complete bipartite graph, Star graph, Complete graph, Ladder graph

Abstract

The \((4,2)\)-labeling of a graph \(G\) is a function \(f:V(G)\to {\mathbb{Z}}^+\) such that \(|f(x)-f(y)|\ge 4\) if \(d(x,y)=1\) and \(|f(x)-f(y)|\ge 2\) if \(d(x,y)=2\), for any \(x,y\in V(G)\). In this paper, we label different types of graphs such as paths, cycles, complete and complete bipartite graphs, star graphs and ladder graphs to study the bounds of the span \(\lambda\) of these graphs.

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References

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Published

31-12-2023
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How to Cite

Mishra, A., & Dey, P. C. (2023). On (4, 2)-Labeling of Certain Graphs. Communications in Mathematics and Applications, 14(5), 1529–1535. https://doi.org/10.26713/cma.v14i5.2191

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Research Article