Matroids with coefficients over projective planes

DOI10.1016/0097-3165(94)90091-4zbMath0811.05022OpenAlexW2031968376MaRDI QIDQ1336441

Franz B. Kalhoff

Publication date: 7 May 1995

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90091-4

zbMATH Keywords

projective planesvaluationsmatroid with coefficientsfuzzy ringsTutte group

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

Topological projective planes and uniform valuations, Oriented rank three matroids and projective planes, On epimorphisms and projectivities of projective planes

Cites Work

• On combinatorial and projective geometry
• Zur algebraischen Kennzeichnung mehrwertiger Halbordnungen. (An algebraic characterization of multi-valued halforderings)
• Eine Kennzeichnung anordnungsfähiger Ternärkörper. (A characterization of orderable ternary fields)
• Duality theory for finite and infinite matroids with coefficients
• Projective equivalence of matroids with coefficients
• Perfect matroids
• Valuated matroids
• The Tutte group of projective planes
• Grassmann-Plücker relations and matroids with coefficients
• Geometric algebra for combinatorial geometries
• Beziehungen zwischen mehrwertigen Ordnungsfunktionen und Inhaltsfunktionen auf Inzidenzstrukturen
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