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arXiv · 2403.14098

On some classes of cycles-related $Γ$-harmonious graphs

Gyaneshwar Agrahari·Dalibor Froncek
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Abstract

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

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Gyaneshwar Agrahari, Dalibor Froncek. 2024-03-21. On some classes of cycles-related $Γ$-harmonious graphs. https://arxiv.org/abs/2403.14098

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