arXiv Analytics

Sign in

arXiv:1512.02563 [math.MG]AbstractReferencesReviewsResources

The combinatorial geometry of stresses in frameworks

O. Karpenkov

Published 2015-12-08Version 1

In this paper we formulate and prove necessary and sufficient geometric conditions for existence of generic tensegrities in the plane for arbitrary graphs. The conditions are written in terms of "meet-join" relations for the configuration spaces of fixed points and non-fixed lines through fixed points.

Comments: 44 pages, 30 pictures
Categories: math.MG, math.CO
Subjects: 52C30, 05C10
Related articles: Most relevant | Search more
arXiv:1504.01642 [math.MG] (Published 2015-04-07)
Quantitative $(p,q)$ theorems in combinatorial geometry
arXiv:1303.7146 [math.MG] (Published 2013-03-28)
Diversities, hyperconvexity and fixed points
arXiv:1511.08133 [math.MG] (Published 2015-11-25)
How rigid the finite ultrametric spaces can be?

Links

Toolbox