VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Locally arc-transitive graphs of valence ▫${3,4}$▫ with trivial edge kernel
    Potočnik, Primož, 1971-
    In this paper we consider connected locally ▫$G$▫-arc-transitive graphs with vertices of valence 3 and 4, such that the kernel ▫$G_{uv}^{[1]}$▫ of the action of an edge-stabiliser on the neighourhood ... ▫$\Gamma(u) \cup \Gamma(v)$▫ is trivial. We find nineteen finitely presented groups with the property that any such group ▫$G$▫ is a quotient of one of these groups. As an application, we enumerate all connected locally arc-transitive graphs of valence ▫$\{3,4\}$▫ on atmost 350 vertices whose automorphism group contains a locally arc-transitive subgroup ▫$G$▫ with ▫$G_{uv}^{[1]} = 1$▫.
    Vir: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 38, iss. 3, 2013, str. 637-651)
    Vrsta gradiva - članek, sestavni del
    Leto - 2013
    Jezik - angleški
    COBISS.SI-ID - 16699481

    Povezava(-e):

    http://dx.doi.org/10.1007/s10801-012-0418-5

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