Unique representability and matroid reconstruction

DOI10.1016/S0196-8858(02)00500-6zbMath1031.05033MaRDI QIDQ1408269

William P. Miller

Publication date: 15 September 2003

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

zbMATH Keywords

affine geometryprojective geometrymatroidreconstructionunique representability

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Cites Work

• Matroids with no \((q+2)\)-point-line minors
• Reconstructing graphs from their k-edge deleted subgraphs
• Matroid representation over GF(3)
• On Reid's characterization of the ternary matroids
• Techniques in matroid reconstruction
• The excluded minors for GF(4)-representable matroids
• Characterizing combinatorial geometries by numerical invariants
• A note on the line reconstruction problem
• On the Uniqueness of Matroid Representations Over GF(4)
• A Decomposition for Combinatorial Geometries
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