On Negami's planar cover conjecture

Details On Negami's planar cover conjecture On Negami's planar cover conjecture

2006-12-13

arxiv.org/abs/math/0612342v1

Mathematics

Combinatorics

20 pages, 13 figures

Scientific paper

Given a finite cover f:tilde{G} \to G and an embedding of tilde{G} in the plane, Negami conjectures that G embeds in P^2. Negami proved this conjecture for regular covers. In this paper we define two properties (Propserties V and E), depending on the cover tilde{G} and its embedding into S^2, and generalize Negami's result by showing: (1) If Properties V and E are fulfilled then G embeds in P^2. (2) Regular covers always fulfill Properties V and E. We give an example of an irregular cover fulfilling Properties V and E. Covers not fulfilling Properties V and E are discussed as well.

Affiliated with

Also associated with

No associations

Rating

On Negami's planar cover conjecture does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Negami's planar cover conjecture, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Negami's planar cover conjecture will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-586102