Akademska digitalna zbirka SLovenije - logo
VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Symmetry type graphs of polytopes and maniplexes
    Cunningham, Gabe ...
    A ▫$k$▫-orbit maniplex is one that has ▫$k$▫ orbits of flags under the action of its automorphism group. In this paper we extend the notion of symmetry type graphs of maps to that of maniplexes and ... polytopes and make use of them to study ▫$k$▫-orbit maniplexes, as well as fully-transitive 3-maniplexes. In particular, we show that there are no fully-transtive ▫$k$▫-orbit 3-mainplexes with ▫$k > 1$▫ an odd number, we classify 3-orbit mainplexes and determine all face transitivities for 3- and 4-orbit maniplexes. Moreover, we give generators of the automorphism group of a polytope or a maniplex, given its symmetry type graph. Finally, we extend these notions to oriented polytopes, in particular we classify oriented 2-orbit maniplexes and give generators for their orientation preserving automorphism group.
    Vir: Annals of combinatorics. - ISSN 0218-0006 (Vol. 19, iss. 2, 2015, str. 243-268)
    Vrsta gradiva - članek, sestavni del
    Leto - 2015
    Jezik - angleški
    COBISS.SI-ID - 17921113

vir: Annals of combinatorics. - ISSN 0218-0006 (Vol. 19, iss. 2, 2015, str. 243-268)
loading ...
loading ...
loading ...