| Naslov: | On the Hamilton-Waterloo Problem with a single factor of 6-cycles |
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| Avtorji: | ID Santizo Huerta, Zazil (Avtor)
ID Keranen, Melissa (Avtor) |
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| Datoteke: |  AMC_Santizo_Huerta_Keranen_2026.pdf (526,92 KB)
MD5: E462DD8B4BDCD3F8055442EEDCF05A45
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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: | The uniform Hamilton-Waterloo Problem (HWP) asks for a resolvable (CM, CN)-decomposition of Kv into α CM-factors and β CN-factors. We denote a solution to the uniform Hamilton-Waterloo problem by HWP(v; M, N; α, β). Our research concentrates on addressing some of the remaining unresolved cases, which pose a significant challenge to generalize. We place a particular emphasis on instances where the gcd (M, N) = {2, 3}, with a specific focus on the parameter M = 6. We introduce modifications to some known structures, and develop new approaches to resolving these outstanding challenges in the construction of uniform 2-factorizations. This innovative method not only extends the scope of solved cases, but also contributes to a deeper understanding of the complexity involved in solving the Hamilton-Waterloo Problem. |
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| Ključne besede: | 2-factorizations, Hamilton-Waterloo problem, Oberwolfach problem, cycle decomposition, resolvable decompositions |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 07.04.2026 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2026 |
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| Št. strani: | 32 str. |
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| Številčenje: | Vol. 26, no. 2, [article no.] P2.10 |
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| PID: | 20.500.12556/RUP-23442  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3316.6d0 |
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| Datum objave v RUP: | 11.08.2026 |
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| Število ogledov: | 22 |
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| Število prenosov: | 0 |
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| Metapodatki: |    |
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