𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generating projective plane polyhedral maps

✍ Scribed by D.W Barnette


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
666 KB
Volume
51
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Projective plane embeddings of polyhedra
✍ Adrian Riskin πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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

Generating even triangulations of the pr
✍ Yusuke Suzuki; Takahiro Watanabe πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 255 KB

## Abstract We shall determine the 20 families of irreducible even triangulations of the projective plane. Every even triangulation of the projective plane can be obtained from one of them by a sequence of __even‐splittings__ and __attaching octahedra__, both of which were first given by Batagelj 2

Maps of m-pires on the projective plane
✍ Brad Jackson; Gerhard Ringel πŸ“‚ Article πŸ“… 1983 πŸ› Elsevier Science 🌐 English βš– 251 KB
The Number of Loopless 4-Regular Maps on
✍ Han Ren; Yanpei Liu πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 175 KB

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.