Characterizations of \(\text{PG}(n-1,q)\setminus\text{PG}(k-1,q)\) by numerical and polynomial invariants

DOI10.1006/aama.2001.0786zbMath1002.05012OpenAlexW2034955416MaRDI QIDQ696806

Joseph E. Bonin, Rachelle M. Ankney

Publication date: 12 September 2002

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

Full work available at URL: https://doi.org/10.1006/aama.2001.0786

zbMATH Keywords

matroidTutte polynomial

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (3)

T-uniqueness of some families of \(k\)-chordal matroids ⋮ Critical problem for codes over finite chain rings ⋮ On matroids determined by their Tutte polynomials

Cites Work

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• Matroids with no \((q+2)\)-point-line minors
• Hyperplane reconstruction of the Tutte polynomial of a geometric lattice
• Techniques in matroid reconstruction
• Characterizing combinatorial geometries by numerical invariants
• The Tutte polynomial
• The Tutte Polynomial Part I: General Theory
• Intersection Theory for Embeddings of Matroids into Uniform Geometries
• A characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the MacDonald codes

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