The Almost Intersection Property for Pairs of Matroids on Common Groundset

  • Nathan Bowler
  • Johannes Carmesin
  • Jerzy Wojciechowski
  • Shadisadat Ghaderi
DOI: https://doi.org/10.37236/8881

Abstract

We introduce the Almost Intersection Property for pairs of possibly infinite matroids on the same groundset. We prove that if such a pair satisfies the Almost Intersection Property then it satisfies the Matroid Intersection Conjecture of Nash-Williams. We also present some corollaries of that result.

Published
2020-07-10
How to Cite
Bowler, N., Carmesin, J., Wojciechowski, J., & Ghaderi, S. (2020). The Almost Intersection Property for Pairs of Matroids on Common Groundset. The Electronic Journal of Combinatorics, 27(3), P3.5. https://doi.org/10.37236/8881
Issue
Volume 27, Issue 3 (2020)
Article Number
P3.5