On some classes of cycles-related $\Gamma$-harmonious graphs

Gyaneshwar Agrahari; Dalibor Froncek

On some classes of cycles-related $\Gamma$-harmonious graphs

Combinatorics 2024-03-22 v1

Authors: Gyaneshwar Agrahari , Dalibor Froncek

Abstract

A graph $G(V,E)$ is $\Gamma$ -harmonious when there is an injection $f$ from $V$ to an Abelian group $\Gamma$ such that the induced edge labels defined as $w(xy)=f(x)+f(y)$ form a bijection from $E$ to $\Gamma$ . We study $\Gamma$ -harmonious labelings of several cycles-related classes of graphs, including Dutch windmills, generalized prisms, generalized closed and open webs, and superwheels.

Keywords

Γ-harmonious graph graph labeling Abelian group cycles-related graphs Dutch windmills generalized prisms generalized webs superwheels

Cite

@article{arxiv.2403.14098,
  title  = {On some classes of cycles-related $\Gamma$-harmonious graphs},
  author = {Gyaneshwar Agrahari and Dalibor Froncek},
  journal= {arXiv preprint arXiv:2403.14098},
  year   = {2024}
}

On some classes of cycles-related $\Gamma$-harmonious graphs

Abstract

Keywords

Cite

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