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On pseudomodular matroids and adjoints

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Publication:1894347
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DOI10.1016/0166-218X(94)00039-GzbMath0833.05015MaRDI QIDQ1894347

Winfried Hochstättler, M. Alfter

Publication date: 11 March 1996

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


zbMATH Keywords

hyperplaneadjointmatroidrank functiongeometric latticeclosuresgeneralized Euclidean intersection propertypoint extensionpseudomodular matroid


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)


Related Items (2)

Adjoints of matroids ⋮ Common information, matroid representation, and secret sharing for matroid ports



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On some combinatorial properties of algebraic matroids
  • On adjoints and dual matroids
  • Euclidean intersection properties
  • Adjoints of oriented matroids
  • On sticky matroids
  • Matroids without adjoint
  • Finding small triangulations of polytope boundaries is hard
  • Matroid matching in pseudomodular lattices
  • Non‐Algebraic Matroids exist
  • Adjoints of a Geometry
  • On the Foundations of Combinatorial Theory II. Combinatorial Geometries


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