๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Wv paths in the projective plane

โœ Scribed by D.W Barnette


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
327 KB
Volume
62
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

โœฆ Synopsis


If a graph G is embedded in a manifold then a path in G is said to be a W~ path if and only if it never returns to a face of the graph once it leaves it. We prove that between each two vertices of a cell complex in the projective plane there is a W~ path.


๐Ÿ“œ SIMILAR VOLUMES


Coloring the projective plane
โœ Joel Spencer ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 835 KB

It is shown that the points of a projective plane may be two-&ore discrepancy at most Knf, K an absolute constant. A variant of the p hat evee line has method is used. Connections to the Komlos Conjecture are discussed.

Minimal embeddings in the projective pla
โœ Randby, Scott P. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 161 KB

We show that if G is a graph embedded on the projective plane in such a way that each noncontractible cycle intersects G at least n times and the embedding is minimal with respect to this property (i.e., the representativity of the embedding is n), then G can be reduced by a series of reduction oper

Gobos in a finite projective plane
โœ George E Martin ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 283 KB
Planar graphs on the projective plane
โœ Bojan Mohar; Neil Robertson; Richard P. Vitray ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 958 KB