On the Möbius function and topology of general pattern posets

MaRDI QIDQ1733932

Jason P. Smith

Publication date: 22 March 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.08676

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Combinatorics of partially ordered sets (06A07)

Related Items (3)

The history of the Gothenburg--Reykjavík--Strathclyde combinatorics group ⋮ The poset of graphs ordered by induced containment ⋮ Enumeration of some classes of pattern avoiding matchings, with a glimpse into the matching pattern poset

Cites Work

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• The Dyck pattern poset
• On the Möbius function of permutations with one descent
• The Möbius function of generalized subword order
• Intervals of permutations with a fixed number of descents are shellable
• The Möbius function of the consecutive pattern poset
• Patterns in permutations and words.
• (2+2)-free posets, ascent sequences and pattern avoiding permutations
• The Möbius function of the permutation pattern poset
• Homotopy type and Euler characteristic of partially ordered sets
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Vincular pattern posets and the Möbius function of the quasi-consecutive pattern poset
• Discrete Morse theory and the consecutive pattern poset
• On the topology of the permutation pattern poset
• A formula for the Möbius function of the permutation poset based on a topological decomposition
• The Möbius function of a composition poset
• On Lexicographically Shellable Posets
• The Structure of the Consecutive Pattern Poset
• Poset fiber theorems

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