A geometric inequality for circle packings

Details A geometric inequality for circle packings A geometric inequality for circle packings

2002-05-27

arxiv.org/abs/math/0205278v1

Discrete and Computational Geometry, Vol. 31, No. 3, 2004.

Mathematics

Algebraic Geometry

11 pages, submitted

Scientific paper

10.1007/s00454-003-2880-2

A geometric inequality among three triangles, originating in circle packing problems, is introduced. In order to prove it, we reduce the original formulation to the nonnegativity of a particular polynomial in four real indeterminates. Techniques based on sum of squares decompositions, semidefinite programming, and symmetry reduction are then applied to provide an easily verifiable nonnegativity certificate.

Affiliated with

Also associated with

No associations

Rating

A geometric inequality for circle packings 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 A geometric inequality for circle packings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A geometric inequality for circle packings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397202