The genus of the Coxeter graph

Mitchell, Jane M.O. (1995) The genus of the Coxeter graph. Canadian Mathematical Bulletin, 38 (4). pp. 462-464. ISSN 0008-4395

Abstract

Biggs stated that the Coxeter graph can be embedded in an orientable surface of genus 3. The purpose of this note is to point out that Biggs' embedding is in fact into a non-orientable surface. Further, it is shown that the orientable genus is 3 and the non-orientable genus is 6.

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• Item metadata

  Item type:	Article
  ID code:	17643
  Dates:	Date Event December 1995 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics > Mathematics
  Depositing user:	Strathprints Administrator
  Date deposited:	05 May 2010 10:19
  Last modified:	11 Nov 2024 09:15
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/17643