Geodesic
The Genus of the Coxeter Graph
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 462-464

Voir la notice de l'article provenant de la source Cambridge

DOI

In [1], 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.
DOI : 10.4153/CMB-1995-067-7
Mots-clés : 05C10 
Mitchell, Jane M. O. The Genus of the Coxeter Graph. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 462-464. doi: 10.4153/CMB-1995-067-7
@article{10_4153_CMB_1995_067_7,
     author = {Mitchell, Jane M. O.},
     title = {The {Genus} of the {Coxeter} {Graph}},
     journal = {Canadian mathematical bulletin},
     pages = {462--464},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-067-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-067-7/}
}
TY  - JOUR
AU  - Mitchell, Jane M. O.
TI  - The Genus of the Coxeter Graph
JO  - Canadian mathematical bulletin
PY  - 1995
SP  - 462
EP  - 464
VL  - 38
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-067-7/
DO  - 10.4153/CMB-1995-067-7
ID  - 10_4153_CMB_1995_067_7
ER  - 
%0 Journal Article
%A Mitchell, Jane M. O.
%T The Genus of the Coxeter Graph
%J Canadian mathematical bulletin
%D 1995
%P 462-464
%V 38
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-067-7/
%R 10.4153/CMB-1995-067-7
%F 10_4153_CMB_1995_067_7

Cité par Sources :