A weight statistic and partial order on products of \(m\)-cycles

DOI10.1016/j.disc.2013.10.002zbMath1278.05022OpenAlexW2009096815MaRDI QIDQ393159

Johnathon Upperman, C. Ryan Vinroot

Publication date: 16 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2013.10.002

zbMATH Keywords

symmetric groupBruhat order\(m\)-cyclesEL-shellable posets

Mathematics Subject Classification ID

Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric groups (20B30)

Related Items (2)

Omitting parentheses from the cyclic notation ⋮ Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions

Cites Work

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• Omitting parentheses from the cyclic notation
• Shellings of spheres and polytopes
• Some applications of the \(q\)-exponential formula
• A \(q\)-analogue of Faà di Bruno's formula
• An inversion number statistic on set partitions
• Shellable and Cohen-Macaulay Partially Ordered Sets
• The Bruhat Order of the Symmetric Group is Lexicographically Shellable
• Möbius inversion for the Bruhat ordering on a Weyl group
• A statistic on involutions

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