On tope graphs of complexes of oriented matroids
From MaRDI portal
Publication:2291453
DOI10.1007/s00454-019-00111-zzbMath1431.05034arXiv1701.05525OpenAlexW2962840653MaRDI QIDQ2291453
Publication date: 31 January 2020
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.05525
Combinatorial aspects of matroids and geometric lattices (05B35) Distance in graphs (05C12) Graph algorithms (graph-theoretic aspects) (05C85)
Related Items (9)
Ample Completions of Oriented Matroids and Complexes of Uniform Oriented Matroids ⋮ On some properties of antipodal partial cubes ⋮ Corners and simpliciality in oriented matroids and partial cubes ⋮ Compression schemes for concept classes induced by three types of discrete undirected graphical models ⋮ First-order logic axiomatization of metric graph theory ⋮ On \(k\)-neighborly reorientations of oriented matroids ⋮ Transit sets of two-point crossover ⋮ On antipodal and diametrical partial cubes ⋮ Two-dimensional partial cubes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- There are no finite partial cubes of girth more than 6 and minimum degree at least 3
- Graphs and cubes
- Antipodal graphs and oriented matroids
- Isometric embedding in products of complete graphs
- Convexity in partial cubes: the hull number
- Gated sets in metric spaces
- Hyperplane arrangements with a lattice of regions
- A characterization of planar partial cubes
- A combinatorial perspective on the non-Radon partitions
- Cross-cloning and antipodal graphs
- Lopsided sets and orthant-intersection by convex sets
- Combinatorial face enumeration in arrangements and oriented matroids
- Separation of two convex sets in convexity structures
- COMs: complexes of oriented matroids
- The axiomatization of affine oriented matroids reassessed
- A characterization of oriented matroids in terms of topes
- Axioms for maximal vectors of an oriented matroid: A combinatorial characterization of the regions determined by an arrangement of pseudohyperplanes
- Hypercellular graphs: partial cubes without \(Q_3^-\) as partial cube minor
- Topes of oriented matroids and related structures
- A correction of a characterization of planar partial cubes
- On bipartite graphs whose interval space is a closed join space
- Distance-preserving subgraphs of hypercubes
- Finitary affine oriented matroids
- On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities
- Convex excess in partial cubes
- Isometric Diamond Subgraphs
- Graphs with intrinsic s3 convexities
- Oriented Matroids
- Isometric subgraphs of Hamming graphs and d-convexity
- On the Addressing Problem for Loop Switching
This page was built for publication: On tope graphs of complexes of oriented matroids
