Generic Rigidity Matroids with Dilworth Truncations

Details Generic Rigidity Matroids with Dilworth Truncations Generic Rigidity Matroids with Dilworth Truncations

2010-10-27

arxiv.org/abs/1010.5699v2

Mathematics

Combinatorics

Scientific paper

We prove that the linear matroid that defines generic rigidity of $d$-dimensional body-rod-bar frameworks (i.e., structures consisting of disjoint bodies and rods mutually linked by bars) can be obtained from the union of ${d+1 \choose 2}$ graphic matroids by applying variants of Dilworth truncation $n_r$ times, where $n_r$ denotes the number of rods. This leads to an alternative proof of Tay's combinatorial characterizations of generic rigidity of rod-bar frameworks and that of identified body-hinge frameworks.

Affiliated with

Also associated with

No associations

Rating

Generic Rigidity Matroids with Dilworth Truncations 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 Generic Rigidity Matroids with Dilworth Truncations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generic Rigidity Matroids with Dilworth Truncations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485752