| Naslov: | On the BCI problem |
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| Avtorji: | ID Dobson, Ted (Avtor)
ID Robson, Gregory (Avtor) |
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| Datoteke: |  AMC_Dobson,_Robson_2026.pdf (511,43 KB)
MD5: BBA39FAC26B872F4E857BF4679A11258
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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 G be a group. The BCI problem asks whether two Haar graphs of G are isomorphic if and only if they are isomorphic by an element of an explicit list of isomorphisms. We first generalize this problem in a natural way and give a theoretical way to solve the isomorphism problem for the natural generalization. We then restrict our attention to abelian groups and, with an exception, reduce the problem to the isomorphism problem for a related quotient, component, or corresponding Cayley digraph. For Haar graphs of an abelian group of odd order with connection sets S those of Cayley graphs (i.e. S = -S), the exception does not exist. For Haar graphs of cyclic groups of odd order with connection sets those of a Cayley graph, among others, we solve the isomorphism problem. |
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| Ključne besede: | Cayley, Haar, CI, BCI, abelian group |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 19.05.2026 |
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| Založnik: | Založba Univerze na Primorskem |
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| Leto izida: | 2026 |
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| Št. strani: | 29 str. |
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| Številčenje: | Vol. 26, no. 3, [article no.] P3.01 |
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| PID: | 20.500.12556/RUP-23502  |
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| UDK: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | 10.26493/1855-3974.3490.91f |
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| Datum objave v RUP: | 17.08.2026 |
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| Število ogledov: | 91 |
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| Število prenosov: | 2 |
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| Metapodatki: |    |
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