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An extension of Lehman's theorem and ideal set functions

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Publication:298985
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DOI10.1016/j.dam.2015.07.035zbMath1339.05155OpenAlexW2215558941MaRDI QIDQ298985

Tamás Király, Júlia Pap

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.dam.2015.07.035


zbMATH Keywords

coveringpackingperfect graphideal clutterinteger polyhedron


Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Perfect graphs (05C17)




Cites Work

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  • A new infinite family of minimally nonideal matrices
  • Ideal clutters
  • The strong perfect graph theorem
  • The complexity of recognizing linear systems with certain integrality properties
  • Lehman matrices
  • A catalog of minimally nonideal matrices
  • Ideal 0, 1 matrices
  • Imperfect and nonideal clutters: A common approach
  • A characterization of perfect graphs
  • On the width—length inequality
  • Delta-Matroids, Jump Systems, and Bisubmodular Polyhedra
  • Perfect zero–one matrices
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