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The family of bicircular matroids closed under duality

Combinatorics 2020-12-23 v1

Abstract

We characterize the 3-connected members of the intersection of the class of bicircular and cobicircular matroids. Aside from some exceptional matroids with rank and corank at most 5, this class consists of just the free swirls and their minors.

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Cite

@article{arxiv.2012.11712,
  title  = {The family of bicircular matroids closed under duality},
  author = {Vaidy Sivaraman and Daniel Slilaty},
  journal= {arXiv preprint arXiv:2012.11712},
  year   = {2020}
}

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15 pages