Some acyclic systems of permutations are not realizable by triangulations of a product of simplices

Details Some acyclic systems of permutations are not realizable by triangulations of a product of simplices Some acyclic systems of permutations are not realizable by triangulations of a product of simplices

2012-01-02

arxiv.org/abs/1201.0529v2

Mathematics

Combinatorics

12 pages, 7 figures. Version 2 corrects a (significant) typo in v1: Theorem 2.9 had the same statement as Conjecture 2.7, whil

Scientific paper

The acyclic system conjecture of Ardila and Ceballos can be interpreted as saying the following: "Every triangulation of the 3-skeleton of a product of two simplices can be extended to a triangulation of the whole product". We show a counter-example to this. Motivation for this conjecture comes from a related conjecture, the "spread-out simplices" conjecture of Ardila and Billey. We give some necessary conditions that counter-examples to this second conjecture (if they exist) must satisfy.

Affiliated with

Also associated with

No associations

Rating

Some acyclic systems of permutations are not realizable by triangulations of a product of simplices 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 Some acyclic systems of permutations are not realizable by triangulations of a product of simplices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some acyclic systems of permutations are not realizable by triangulations of a product of simplices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-183209