Narodna in univerzitetna knjižnica, Ljubljana (NUK)
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Naročanje kopij člankov.
  • Line graphs and geodesic transitivity
    Devillers, Alice ...
    For a graph ▫$\Gamma$▫, a positive integer ▫$s$▫ and a subgroup ▫$G \le \text{Aut}(\Gamma)$▫, we prove that ▫$G$▫ is transitive on the set of ▫$s$▫-arcs of ▫$\Gamma$▫ if and only if ▫$\Gamma$▫ has ... girth at least ▫$2(s - 1)$▫ and ▫$G$▫ is transitive on the set of ▫$(s - 1)$▫-geodesics of its line graph. As applications, we first classify 2-geodesic transitive graphs of valency 4 and girth 3, and determine which of them are geodesic transitive. Secondly we prove that the only non-complete locally cyclic 2-geodesic transitive graphs are the octahedron and the icosahedron.
    Vir: Ars mathematica contemporanea : special issue Bled'11 (Vol. 6, no. 1, 2013, str. 13-30)
    Vrsta gradiva - prispevek na konferenci ; neleposlovje za odrasle
    Leto - 2013
    Jezik - angleški
    COBISS.SI-ID - 16467289

    Povezava(-e):

    http://amc.imfm.si/index.php/amc/article/view/248/181
    Digitalna knjižnica Slovenije - dLib.si

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