Archdeacon, Dan; Conder, Marston and Siran, Jozef
(2014).
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| DOI (Digital Object Identifier) Link: | https://doi.org/10.1090/S0002-9947-2013-06079-5 |
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| Google Scholar: | Look up in Google Scholar |
Abstract
A cellular embedding of a connected graph (also known as a map) on an orientable surface has trinity symmetry if it is isomorphic to both its dual and its Petrie dual. A map is regular if for any two incident vertex-edge pairs there is an automorphism of the map sending the first pair onto the second. Given a map M with all vertices of the same degree d, for any e relatively prime to d the power map Me is formed from M by replacing the cyclic rotation of edges at each vertex on the surface with the e th power of the rotation. A map is kaleidoscopic if all of its power maps are pairwise isomorphic. In this paper, we present a covering construction that gives infinite families of kaleidoscopic regular maps with trinity symmetry.
| Item Type: | Journal Item |
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| Copyright Holders: | 2013 American Mathematical Society |
| ISSN: | 1088-6850 |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Related URLs: | |
| Item ID: | 37407 |
| Depositing User: | Jozef Širáň |
| Date Deposited: | 17 May 2013 08:40 |
| Last Modified: | 11 Jun 2020 17:15 |
| URI: | http://oro.open.ac.uk/id/eprint/37407 |
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