Characterizing combinatorial geometries by numerical invariants

DOI10.1006/eujc.1998.0245zbMath0946.05020MaRDI QIDQ1970067

William P. Miller, Joseph E. Bonin

Publication date: 26 April 2000

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

zbMATH Keywords

matroidsreconstructionTutte polynomialsgeometric latticesDowling geometries

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial geometries and geometric closure systems (51D20)

Related Items

Graphs determined by polynomial invariants ⋮ Unique representability and matroid reconstruction ⋮ T-uniqueness of some families of \(k\)-chordal matroids ⋮ Complete principal truncations of Dowling lattices ⋮ On chromatic and flow polynomial unique graphs ⋮ Characterizations of \(\text{PG}(n-1,q)\setminus\text{PG}(k-1,q)\) by numerical and polynomial invariants ⋮ Curious characterizations of projective and affine geometries ⋮ Locally grid graphs: Classification and Tutte uniqueness ⋮ A characterization of jointless Dowling geometries ⋮ On matroids determined by their Tutte polynomials

Cites Work

• Matroids with no \((q+2)\)-point-line minors
• A geometric characterization of Dowling lattices
• Line-closed combinatorial geometries
• Hyperplane reconstruction of the Tutte polynomial of a geometric lattice
• The geometry of Dowling lattices
• Techniques in matroid reconstruction
• A class of geometric lattices based on finite groups
• The Tutte Polynomial Part I: General Theory
• Intersection Theory for Embeddings of Matroids into Uniform Geometries
• A rank inequality for finite geometric lattices
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