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Descents and
des-Wilf equivalence of permutations avoiding certain
nonclassical patterns
Caden Bielawa, Robert Davis, Daniel Greeson and Qinhan Zhou
Vol. 12 (2019), No. 4, 549–563
DOI: 10.2140/involve.2019.12.549
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Abstract |
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A frequent topic in the study of pattern avoidance is identifying when two sets of patterns are Wilf equivalent, that is, when for all . In recent work of Dokos et al. the notion of Wilf equivalence was refined to reflect when avoidance of classical patterns preserves certain statistics. We continue their work by examining des-Wilf equivalence when avoiding certain nonclassical patterns. |
Keywords
mesh patterns, pattern avoidance, permutation statistics
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Mathematical Subject Classification 2010
Primary: 05A05
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Milestones
Received: 23 June 2017
Revised: 25 March 2018
Accepted: 28 October 2018
Published: 16 April 2019
Communicated by Jim Haglund
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Authors |
| Caden Bielawa | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Robert Davis | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Daniel Greeson | |
| Department of Mathematics Michigan State University East Lansing, MI United States |
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| Qinhan Zhou | |
| School of Mathematics and
Statistics Xi’an Jiaotong University Xi’an, Shaanxi China |
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