On extensions, linear extensions, upsets and downsets of ordered sets

DOI10.1016/j.disc.2004.12.007zbMath1079.06004OpenAlexW2012059214MaRDI QIDQ556831

Ricardo C. Corrêa, Jayme Luiz Szwarcfiter

Publication date: 23 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.12.007

zbMATH Keywords

EnumerationExtensionsOrdered sets

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)

Cites Work

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• Generating all the acyclic orientations of an undirected graph
• An algorithm to generate the ideals of a partial order
• Interval reductions and extensions of orders: Bijections to chains in lattices
• A structured program to generate all topological sorting arrangements
• Extending a partially ordered set: Links with its lattice of ideals
• An algorithm to generate all topological sorting arrangements
• Generating Linear Extensions Fast
• Generating the Acyclic Orientations of a Graph
• On the generation of all topological sortings

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