The Family of Bicircular Matroids Closed Under Duality

Vaidy Sivaraman; Daniel Slilaty

doi:10.48550/arXiv.2012.11712

The Family of Bicircular Matroids Closed Under Duality

Vaidy Sivaraman, Daniel Slilaty

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	American English
Number of pages	15
Journal	arXiv
DOIs	https://doi.org/10.48550/arXiv.2012.11712
State	Published - Dec 23 2020

Keywords

Mathematics - Combinatorics

Disciplines

Applied Mathematics
Applied Statistics
Mathematics

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title = "The Family of Bicircular Matroids Closed Under Duality",

abstract = " We characterize the 3-connected members of the intersection of the class of bicircular and cobi- circular 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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author = "Vaidy Sivaraman and Daniel Slilaty",

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doi = "10.48550/arXiv.2012.11712",

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N2 - We characterize the 3-connected members of the intersection of the class of bicircular and cobi- circular matroids. Aside from some exceptional matroids with rank and corank at most 5, this class consists of just the free swirls and their minors.

AB - We characterize the 3-connected members of the intersection of the class of bicircular and cobi- circular 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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DO - 10.48550/arXiv.2012.11712

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The Family of Bicircular Matroids Closed Under Duality

Abstract

Keywords

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