Mathematics – Combinatorics
Scientific paper
2003-05-23
Mathematics
Combinatorics
1 page, not to be published elsewhere
Scientific paper
The n'th Birkhoff polytope $B_n$ is the set of all doubly stochastic $n \times n$ matrices, that is, those matrices with nonnegative real coefficients in which every row and column sums to one. A long-standing open problem is the determination of the relative volume of $B_n$. In [arXiv:math.CO/0202267] we introduced a method of calculating this volume and used it to compute $\vol B_9$. This note is an update on our progress: with the same program (but much longer computing time), we have now derived $\vol B_{10}$.
Beck Matthias
Pixton Dennis
No associations
LandOfFree
The volume of the 10th Birkhoff polytope 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 The volume of the 10th Birkhoff polytope, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The volume of the 10th Birkhoff polytope will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-133594