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Excluding a line from complex-representable matroids / Jim Geelen, Peter Nelson, Zach Walsh.
Math/Physics/Astronomy Library QA3 .A57 no.1523
Available
- Format:
- Book
- Author/Creator:
- Geelen, James F., author.
- Nelson, Peter, 1986- author.
- Walsh, Zach, author.
- Series:
- Memoirs of the American Mathematical Society ; v. 1523.
- Memoirs of the American Mathematical Society, 0065-9266 ; v. 1523
- Language:
- English
- Subjects (All):
- Matroids.
- Vector spaces.
- Algebras, Linear.
- Graph theory.
- Physical Description:
- v, 91 pages ; 26 cm.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, 2024
- Summary:
- For each positive integer t and each sufficiently large integer r, we show that the maximum number of elements of a simple, rank-r, C-representable matroid with no U₂, t+₃-minor is t(r2)+r. We derive this as a consequence of a much more general result concerning matroids on group-labeled graphs.
- Contents:
- Chapter 1. Introduction
- Chapter 2. Results
- Chapter 3. Preliminaries
- Chapter 4. Gamma-lift matroids
- Chapter 5. Finding a Dowling geometry
- Chapter 6. Exploiting density
- Chapter 7. Exploiting connectivity
- Chapter 8. The main result
- Chapter 9. An exact theorem
- Chapter 10. Proofs
- Bibliography.
- Notes:
- Includes bibliographical references.
- ISBN:
- 1470471876
- 9781470471873
- OCLC:
- 1477765387
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