| Naslov: | Arc-disjoint hamiltonian paths in Cartesian products of directed cycles |
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| Avtorji: | ID Darijani, Iren (Avtor)
ID Miraftab, Babak (Avtor)
ID Morris, Dave Witte (Avtor) |
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| Datoteke: |  AMC_Darijani,Miraftab,Morris_2025.pdf (512,92 KB)
MD5: 852B7B2D14C1F8535666480835290F95
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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: | We show that if C1 and C2 are directed cycles (of length at least two), then the Cartesian product C1 □ C2 has two arc-disjoint hamiltonian paths. (This answers a question asked by J. A. Gallian in 1985.) The same conclusion also holds for the Cartesian product of any four or more directed cycles (of length at least two), but some cases remain open for the Cartesian product of three directed cycles. We also discuss the existence of arc-disjoint hamiltonian paths in 2-generated Cayley digraphs on (finite or infinite) abelian groups. |
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| Ključne besede: | Abelian groups, Cayley digraphs, hamiltonian paths |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 02.04.2025 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2025 |
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| Št. strani: | 32 str. |
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| Številčenje: | Vol. 25, no. 2, [article no.] P2.10 |
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| PID: | 20.500.12556/RUP-21995  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3047.c2d |
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| Datum objave v RUP: | 21.10.2025 |
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| Število ogledov: | 239 |
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| Število prenosov: | 0 |
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| Metapodatki: |    |
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