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

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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.