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Isometric point-circle configurations on surfaces from uniform maps
Department of Mathematics, Linköping University, Linköping, Sweden.
University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre. (Fysik och matematik, Physics and Mathematics)ORCID iD: 0000-0002-5040-2089
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)
Abstract [en]

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
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URN: 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
Available from: 2016-06-08 Created: 2016-06-08 Last updated: 2016-08-18Bibliographically approved

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