Isometric point-circle configurations on surfaces from uniform maps
2016 (English)In: Symmetries in Graphs, Maps, and Polytopes: 5th SIGMAP Workshop, West Malvern, UK, July 2014 / [ed] Jozef Širáň, Robert Jajcay, Springer, 2016, 201-212 p.Chapter in book (Refereed)
We embed neighborhood geometries of graphs on surfaces as point-circle configurations. We give examples coming from regular maps on surfaces with a maximum number of automorphisms for their genus, and survey geometric realization of pentagonal geometries coming from Moore graphs. An infinite family of point-circle v4 configurations on p-gonal surfaces with two p-gonal morphisms is given. The image of these configurations on the sphere under the two p-gonal morphisms is also described.
Place, publisher, year, edition, pages
Springer, 2016. 201-212 p.
Springer Proceedings in Mathematics & Statistics, ISSN 2194-1009 ; 159
IdentifiersURN: urn:nbn:se:his:diva-12342DOI: 10.1007/978-3-319-30451-9_10ScopusID: 2-s2.0-84962765299ISBN: 978-3-319-30449-6ISBN: 978-3-319-30451-9OAI: oai:DiVA.org:his-12342DiVA: diva2:934200