Akademska digitalna zbirka SLovenije - logo
VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • On fixity of arc-transitive graphs
    Lehner, Florian ; Potočnik, Primož, 1971- ; Spiga, Pablo
    The relative fixity of a permutation group is the maximum proportion of the points fixed by a non-trivial element of the group, and the relative fixity of a graph is the relative fixity of its ... automorphism group, viewed as a permutation group on the vertex-set of the graph. We prove in this paper that the relative fixity of connected 2-arc-transitive graphs of a fixed valence tends to 0 as the number of vertices grows to infinity. We prove the same result for the class of arc-transitive graphs of a fixed prime valence, and more generally, for any class of arc-transitive locally-▫$L$▫ graphs, where ▫$L$▫ is a fixed quasiprimitive graph-restrictive permutation group.
    Vir: Science China. Mathematics = Zhongguo kexue. Shuxue. - ISSN 1674-7283 (Vol. 64, iss. 12, Dec. 2021, str. 2603–2610)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 89815043