| Naslov: | Vertex-transitive graphs with small motion and transitive permutation groups with small minimal degree |
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| Avtorji: | ID Montero, Antonio (Avtor)
ID Potočnik, Primož (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (639,67 KB)
MD5: 92C2BB5F45DFDFE89C058A765EBFB6B1
 URL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0097316525000603
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | The motion of a graph is the minimum number of vertices that are moved by a non-trivial automorphism. Equivalently, it can be defined as the minimal degree of its automorphism group (as a permutation group on the vertices). In this paper, we develop some results on permutation groups (primitive and imprimitive) with small minimal degree. As a consequence of such results, we classify vertex-transitive graphs whose motion is 4 or a prime number. |
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| Ključne besede: | fixity, motion, minimal degree, graphs, permutation groups |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.11.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | 30 str. |
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| Številčenje: | Vol. 216, [article no.] 106065 |
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| PID: | 20.500.12556/DiRROS-22514  |
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| UDK: | 519.17:512 |
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| ISSN pri članku: | 0097-3165 |
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| DOI: | 10.1016/j.jcta.2025.106065 |
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| COBISS.SI-ID: | 237036803 |
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| Datum objave v DiRROS: | 26.05.2025 |
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| Število ogledov: | 635 |
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| Število prenosov: | 321 |
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| Metapodatki: |    |
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