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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.14098 |
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| _version_ | 1866916170023567360 |
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| author | Agrahari, Gyaneshwar Froncek, Dalibor |
| author_facet | Agrahari, Gyaneshwar Froncek, Dalibor |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On some classes of cycles-related $Γ$-harmonious graphs Agrahari, Gyaneshwar Froncek, Dalibor Combinatorics 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. |
| title | On some classes of cycles-related $Γ$-harmonious graphs |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2403.14098 |