The Structure of $I_4$-Free and Triangle-Free Binary Matroids

DOI10.1137/20M1343099zbMath1493.05062arXiv2005.00089OpenAlexW3021331763MaRDI QIDQ5093589

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Publication date: 28 July 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00089

zbMATH Keywords

\(I_4\)-free binary matroidtriangle-free matroids

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• The critical number of dense triangle-free binary matroids
• Quasiperfect linear binary codes with distance 4 and complete caps in projective geometry
• The structure of claw-free binary matroids
• The Structure of Binary Matroids with no Induced Claw or Fano Plane Restriction
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes

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