Rota's basis conjecture for matroids with density close to one

DOI10.1016/j.aam.2023.102593zbMath1525.05020arXiv2107.07024WikidataQ123003011 ScholiaQ123003011MaRDI QIDQ6080363

Sean McGuinness

Publication date: 30 October 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.07024

zbMATH Keywords

girthmatroidRota's basis conjecturerainbow bases

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Coloring of graphs and hypergraphs (05C15)

Cites Work

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• An exchange property of matroids
• The Alon-Tarsi conjecture: a perspective on the main results
• Improved bounds for Rota's basis conjecture
• On Rota's Basis Conjecture
• A Colorful Determinantal Identity, a Conjecture of Rota, and Latin Squares
• The Conjectures of Alon–Tarsi and Rota in Dimension Prime Minus One
• Rota’s Basis Conjecture for Paving Matroids
• A THEOREM ON INDEPENDENCE RELATIONS
• Halfway to Rota’s Basis Conjecture
• Girth conditions and Rota's basis conjecture

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