A CHARACTERIZATION OF MATROIDS IN TERMS OF SURFACES

DOI10.17223/20710410/33/1zbMath1490.05027OpenAlexW2553748689MaRDI QIDQ5150743

Artëm Viktorovich V. Il'ev, Victor Petrovich Il'ev

Publication date: 15 February 2021

Published in: Prikladnaya diskretnaya matematika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pdm553

zbMATH Keywords

surfacerankcombinatorial geometrymatroid

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

• Axioms for infinite matroids
• Modular elimination in matroids and oriented matroids
• Combinatorial geometries, convex polyhedra, and Schubert cells
• Combinatorial optimization. Polyhedra and efficiency (3 volumes)
• Topics in Matroid Theory
• On the Abstract Properties of Linear Dependence
• Some Interpretations of Abstract Linear Dependence in Terms of Projective Geometry
• Theory of Matroids
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