Medial symmetry type graphs
Por:
Hubard I., Francos, MD, Orbanic A., Pisanski T.
Publicada:
30 ago 2013
Resumen:
A k-orbit map is a map with its automorphism group partitioning the set of flags into k orbits. Recently k-orbit maps were studied by Orbanic, Pellicer and Weiss, for k =4. In this paper we use symmetry type graphs to extend such study and classify all the types of 5-orbit maps, as well as all self-dual, properly and improperly, symmetry type of k-orbit maps with k =7. Moreover, we determine, for small values of k, all types of k-orbits maps that are medial maps. Self-dualities constitute an important tool in this quest.
Filiaciones:
Hubard I.:
Univ Nacl Autonoma Mexico, Inst Math, Mexico City 04510, DF, Mexico
Orbanic A.:
University of Ljubljana, Slovenia
Pisanski T.:
University of Ljubljana, Slovenia
Bronze
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