A weak case of Rota's basis conjecture for odd dimensions

Details A weak case of Rota's basis conjecture for odd dimensions A weak case of Rota's basis conjecture for odd dimensions

2011-10-09

arxiv.org/abs/1110.1830v4

Mathematics

Combinatorics

Scientific paper

The Alon-Tarsi Latin square conjecture is extended to odd dimensions by stating it for reduced (normalized) Latin squares. A modified version of Onn's colorful determinantal identity is used to show how the validity of this conjecture implies a weak version of Rota's basis conjecture for odd dimensions, namely, that under a certain condition, the union of n bases can be partitioned into $n$ transversals containing at least n-1 bases.

Affiliated with

Also associated with

No associations

Rating

A weak case of Rota's basis conjecture for odd dimensions 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 weak case of Rota's basis conjecture for odd dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A weak case of Rota's basis conjecture for odd dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88221