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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 75-91 |
| Number of pages | 17 |
| Journal | Utilitas Mathematica |
| Volume | 120 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 the Author(s).
Keywords
- Abelian group
- Harmonious labeling
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