The genus of the Coxeter graph

Jane M.O. Mitchell

The genus of the Coxeter graph

Jane M.O. Mitchell

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	462-464
Number of pages	2
Journal	Canadian Mathematical Bulletin
Volume	38
Issue number	4
Publication status	Published - Dec 1995

Keywords

graph
mathematics
Coxeter graph

Access to Document

http://books.google.co.uk/books?id=T4K77K3i8ggC&pg=PA462&lpg=PA462&dq=%22Jane+M.O.+Mitchell%22&source=bl&ots=4_ng5AFdhm&sig=-nsYzmwclIvRCEpCKnCgdQYATC8&hl=en&ei=TUXhS9_mCY3w0wSqwOCjAg&sa=X&oi=book_result&ct=result&resnum=4&ved=0CBIQ6AEwAw#v=onepage&q=%22J

Cite this

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