A construction of infinite sets of intertwines for pairs of matroids
Abstract
An intertwine of a pair of matroids is a matroid such that it, but none of its proper minors, has minors that are isomorphic to each matroid in the pair. For pairs for which neither matroid can be obtained, up to isomorphism, from the other by taking free extensions, free coextensions, and minors, we construct a family of rankk intertwines for each sufficiently large integer k. We also treat some properties of these intertwines.
 Publication:

arXiv eprints
 Pub Date:
 March 2010
 arXiv:
 arXiv:1003.1120
 Bibcode:
 2010arXiv1003.1120B
 Keywords:

 Mathematics  Combinatorics;
 05B35
 EPrint:
 11 pages