Szczegóły publikacji
Opis bibliograficzny
Irregular graph labelings in Abelian groups / Sylwia CICHACZ // Ars Mathematica Contemporanea ; ISSN 1855-3966 . — 2026 — vol. 26 no. 2 art. no. P2.09, s. 1–10. — Bibliogr. s. 9–10, Abstr. — Publikacja dostępna online od: 2026-03-31
Autor
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 166951 |
|---|---|
| Data dodania do BaDAP | 2026-04-10 |
| Tekst źródłowy | URL |
| DOI | 10.26493/1855-3974.3380.cb8 |
| Rok publikacji | 2026 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Ars Mathematica Contemporanea |
Abstract
Let (Formula presented) be a directed graph of order n. If there exists a mapping ψ from (Formula presented) to an Abelian group Γ such that if we define a mapping φψ from (Formula presented) to Γ by (Formula presented), such that φψ is injective, then the mapping ψ is called Γ-irregular. Recently it was shown that if n is large enough then (Formula presented) has a Γ-irregular labeling for any Γ such that |Γ| > (1 + ε)n [8]. In this paper, we prove that if all weakly connected components of (Formula presented) are of size at least 4, then (Formula presented) has a Γ-irregular labeling for any finite group Γ such that (Formula presented). © (2025), (Ars Mathematica Contemporanea). All rights reserved.
