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Path-independence and closure operators with the anti-exchange property

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Publication:1766745
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DOI10.1016/j.dam.2004.06.022zbMath1090.90164OpenAlexW2090675981MaRDI QIDQ1766745

Gleb A. Koshevoy

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.dam.2004.06.022


zbMATH Keywords

ShellabilityAbstract convex geometryChoice latticeMeet-distributive lattice


Mathematics Subject Classification ID

Combinatorial optimization (90C27)




Cites Work

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  • Greedoids
  • Choice functions over a finite set: A summary
  • The theory of convex geometries
  • Choice functions and abstract convex geometries
  • Path independence in serial-parallel data processing
  • General theory of best variants choice: Some aspects
  • Path Independence, Rationality, and Social Choice
  • The duality between the anti-exchange closure operators and the path independent choice operators on a finite set
  • Locally complete path independent choice functions and their lattices


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