| Naslov: | Irregular graph labelings in Abelian groups |
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| Avtorji: | ID Cichacz, Sylwia (Avtor) |
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| Datoteke: |  AMC_Cichacz_2026.pdf (331,17 KB)
MD5: AC47343FA13DEBC61C1F7A32ED96CA17
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | ZUP - Založba Univerze na Primorskem
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| Opis: | Let G⃗ = (V,E) be a directed graph of order n. If there exists a mapping ψ from E(G⃗) to an Abelian group Γ such that if we define a mapping φ_ψ from V(G⃗) to Γ by
φ_ψ(x) = ∑y ∈ N⁺(x)ψ(xy) − ∑y ∈ N⁻(x)ψ(yx), (x ∈ V(G⃗)), then φψ is injective, then such a labeling ψ is called Γ-irregular.
Recently it was showed that if n is large enough then G⃗ has a Γ-irregular labeling for any Γ such that |Γ| > (1 + ε)n (in the paper from Cichacz and Tuza from 2022). In this paper, we prove that if all weakly connected components of G⃗ are of size at least 4, then G⃗ has a Γ-irregular labeling for any finite group Γ such that |Γ| >= n + 5. |
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| Ključne besede: | finite Abelian group, directed graph, zero-sum sets |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 31.03.2026 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2026 |
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| Št. strani: | 10 str. |
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| Številčenje: | Vol. 26, no. 2, [article no.] P2.09 |
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| PID: | 20.500.12556/RUP-23441  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3380.cb8 |
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| Datum objave v RUP: | 11.08.2026 |
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| Število ogledov: | 19 |
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| Število prenosov: | 0 |
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| Metapodatki: |    |
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