Rota's basis conjecture holds for random bases of vector spaces

DOI10.1016/j.ejc.2023.103836zbMATH Open1548.05076MaRDI QIDQ6612512

Lisa Sauermann

Publication date: 30 September 2024

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• On the relations of various conjectures on Latin squares and straightening coefficients
• On Rota's problem about \(n\) bases in a rank \(n\) matroid
• On the number of even and odd Latin squares of order \(p+1\)
• Improved bounds for Rota's basis conjecture
• The probabilistic method
• The intersection of a matroid and a simplicial complex
• On Rota's Basis Conjecture
• Reduction of Rota's Basis Conjecture to a Problem on Three Bases
• The Conjectures of Alon–Tarsi and Rota in Dimension Prime Minus One
• Rota’s Basis Conjecture for Paving Matroids
• Halfway to Rota’s Basis Conjecture

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