The Free product of Matroids

Details The Free product of Matroids The Free product of Matroids

2004-09-06

arxiv.org/abs/math/0409080v1

Mathematics

Combinatorics

5 pages, 1 figure. Accepted for publication in the European Journal of Combinatorics. See also arXiv:math.CO/0409028

Scientific paper

We introduce a noncommutative binary operation on matroids, called free product. We show that this operation respects matroid duality, and has the property that, given only the cardinalities, an ordered pair of matroids may be recovered, up to isomorphism, from its free product. We use these results to give a short proof of Welsh's 1969 conjecture, which provides a progressive lower bound for the number of isomorphism classes of matroids on an n-element set.

Affiliated with

Also associated with

No associations

Rating

The Free product of Matroids 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 Free product of Matroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Free product of Matroids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-375161