Richter, R. Bruce; Siran, Jozef; Jajcay, Robert; Tucker, Thomas W. and Watkins, Mark E.
|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1016/j.jctb.2005.04.007|
|Google Scholar:||Look up in Google Scholar|
We present a theory of Cayley maps, i.e., embeddings of Cayley graphs into oriented surfaces having the same cyclic rotation of generators around each vertex. These maps have often been used to encode symmetric embeddings of graphs. We also present an algebraic theory of Cayley maps and we apply the theory to determine exactly which regular or edge-transitive tilings of the sphere or plane are Cayley maps or Cayley graphs. Our main goal, however, is to provide the general theory so as to make it easier for others to study Cayley maps.
|Item Type:||Journal Article|
|Keywords:||Cayley maps; Map homomorphisms; Map isomorphisms; Regular maps|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Jozef Širáň|
|Date Deposited:||14 Jun 2007|
|Last Modified:||14 Jan 2016 16:32|
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