$s$-Inversion Sequences and $P$-Partitions of Type $B$

DOI10.1137/130942140zbMath1344.05004arXiv1310.5313OpenAlexW2170906092MaRDI QIDQ2818207

William Y. C. Chen, Harry H. Y. Huang, Peter L. Guo, Thomas Y. H. Liu, Alan J. X. Guo

Publication date: 6 September 2016

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

Full work available at URL: https://arxiv.org/abs/1310.5313

zbMATH Keywords

descent numbersigned permutationinversion sequenceascent number\(P\)-partition of type \(B\)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Permutations, words, matrices (05A05) Elementary theory of partitions (11P81)

Related Items (4)

A sextuple equidistribution arising in pattern avoidance ⋮ Weakly increasing trees on a multiset ⋮ The mathematics of lecture hall partitions ⋮ \(1/k\)-Eulerian polynomials and \(k\)-inversion sequences

Cites Work

• Unnamed Item
• Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences
• \(q\)-Eulerian polynomials arising from Coxeter groups
• On the descent polynomial of signed multipermutations
• The 𝐬-Eulerian polynomials have only real roots

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