The existence problem for Steiner networks in strictly convex domains

Details The existence problem for Steiner networks in strictly convex domains The existence problem for Steiner networks in strictly convex domains

2008-06-03

arxiv.org/abs/0806.0632v1

Mathematics

Differential Geometry

submitted September 2006, accepted for journal publication November 2007

Scientific paper

We consider the existence problem for `Steiner networks' (trivalent graphs with 120 degree angles at each junction) in strictly convex domains, with `Neumann' boundary conditions (orthogonal intersection with the domain boundary.) For each of the three possible combinatorial possibilities, sufficient conditions on the domain are derived for existence; in addition, in each case explicit examples of nonexistence are given.

Affiliated with

Also associated with

No associations

Rating

The existence problem for Steiner networks in strictly convex domains 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 The existence problem for Steiner networks in strictly convex domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The existence problem for Steiner networks in strictly convex domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153730