Plane Permutations and Applications to a Result of Zagier--Stanley and Distances of Permutations

DOI10.1137/15M1023646zbMath1344.05003arXiv1502.07674MaRDI QIDQ2818210

Christian M. Reidys, Ricky X. F. Chen

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/1502.07674

zbMATH Keywords

transpositionexceedancehypermapreversalStirling number of the first kindplane permutation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Permutations, words, matrices (05A05)

Related Items (4)

Random 2-cell embeddings of multistars ⋮ A versatile combinatorial approach of studying products of long cycles in symmetric groups ⋮ Combinatorially refine a Zagier-Stanley result on products of permutations ⋮ On products of permutations with the most uncontaminated cycles by designated labels

Cites Work

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• Odd permutations are nicer than even ones
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• The average number of block interchanges needed to sort a permutation and a recent result of Stanley
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• The Euler characteristic of the moduli space of curves
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• Lower Bounding Edit Distances between Permutations
• Sorting by Transpositions Is Difficult
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• Counting Cycles in Permutations by Group Characters, With an Application to a Topological Problem
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