Methods for nesting rank 3 normalized matching rank-unimodal posets

DOI10.1016/j.disc.2008.07.013zbMath1163.06002OpenAlexW2073146651MaRDI QIDQ1011490

Shahriar Shahriari, Mark J. Logan, Tim Hsu

Publication date: 8 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.07.013

zbMATH Keywords

chain decompositionsGriggs nesting conjectureLYM propertynested posetsnormalized matching property

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07)

Related Items (3)

On nested chain decompositions of normalized matching posets of rank 3 ⋮ Some remarks on nestings in the normalized matching posets of rank 3 ⋮ The normalized matching property in random and pseudorandom bipartite graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Erratum to: ``On nested chain decompositions of normalized matching posets of rank 3
• Some remarks on normalized matching
• The generalized Füredi conjecture holds for finite linear lattices
• Partitioning Boolean lattices into chains of subsets
• Problems on chain partitions
• On chains and Sperner k-families in ranked posets
• Proof of a conjecture on partitions of a Boolean lattice
• The morphology of partially ordered sets
• Strong versions of Sperner's theorem
• Games of chains and cutsets in the Boolean lattice
• Nested chain partitions of Hamiltonian filters
• Partitioning the Boolean lattice into chains of large minimum size
• Games of chains and cutsets in the Boolean lattice. II
• Nested chain partitions of LYM posets
• Partitioning the Boolean lattice into a minimal number of chains of relatively uniform size
• A new matching property for posets and existence of disjoint chains
• Matchings, cutsets, and chain partitions in graded posets
• Long symmetric chains in the Boolean lattice
• Sufficient Conditions for a Symmetric Chain Order
• Partitions Into Chains of a Class of Partially Ordered Sets
• Symmetric Chain Decompositions of Linear Lattices
• Normalized Matching in Direct Products of Partial Orders
• Remark on a criterion for common transversals

This page was built for publication: Methods for nesting rank 3 normalized matching rank-unimodal posets