In this paper rooted loopless (near) 4-regular maps on surfaces such as the sphere and the projective plane are counted and exact formulae with up to three or four parameters for such maps are given. Several classical results on regular maps and one-faced maps are deduced.
โฆ LIBER โฆ
Maps of m-pires on the projective plane
โ Scribed by Brad Jackson; Gerhard Ringel
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 251 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Number of Loopless 4-Regular Maps on
โ
Han Ren; Yanpei Liu
๐
Article
๐
2002
๐
Elsevier Science
๐
English
โ 175 KB
Projective plane embeddings of polyhedra
โ
Adrian Riskin
๐
Article
๐
1994
๐
Elsevier Science
๐
English
โ 607 KB
We give various conditions on pinched-torus polyhedral maps which are necessary for their graphs to be embeddable in the projective plane. Our other main result is that even if the graph of a polyhedral map in the pinched torus is embeddable in a projective plane, the map induced by the embedding ca
Planar graphs on the projective plane
โ
Bojan Mohar; Neil Robertson; Richard P. Vitray
๐
Article
๐
1996
๐
Elsevier Science
๐
English
โ 958 KB
On the characterization of plane project
โ
J. Aczรฉl; M. A. McKiernan
๐
Article
๐
1967
๐
John Wiley and Sons
๐
English
โ 872 KB
Generating the triangulations of the pro
โ
David Barnette
๐
Article
๐
1982
๐
Elsevier Science
๐
English
โ 392 KB
On the existence of a projective plane o
โ
F.J MacWilliams; N.J.A Sloane; J.G Thompson
๐
Article
๐
1973
๐
Elsevier Science
๐
English
โ 520 KB