Infinite antichains of matroids with characteristic set {p}

Authors

James Oxley, Louisiana State University
Charles Semple, University of Canterbury
Dirk Vertigan, Victoria University of Wellington
Geoff Whittle, Victoria University of Wellington

Document Type

Article

Publication Date

6-1-2002

Abstract

For each prime p, we construct an infinite antichain of matroids in which each matroid has characteristic set {p}. For p = 2, each of the matroids in our antichain is an excluded minor for the class of matroids representable over the rationals. © 2002 Elsevier Science B.V. All rights reserved.

Publication Source (Journal or Book title)

Discrete Mathematics

First Page

175

Last Page

185

Recommended Citation

Oxley, J., Semple, C., Vertigan, D., & Whittle, G. (2002). Infinite antichains of matroids with characteristic set {p}. Discrete Mathematics, 242 (1-3), 175-185. https://doi.org/10.1016/S0012-365X(00)00466-0