Results 81 to 90 of about 181,403 (139)
Extending Results on Wilf-Equivalence of Partial Shuffles
In 2020, Bloom and Sagan defined subsets of the symmetric group $\mathfrak{S}_n$ called partial shuffles, and proved a formula for the Schur expansion of the pattern quasisymmetric function associated with a partial shuffle. In their proof, they establish that any two partial shuffles of the same size are Wilf-equivalent.
Albert, Michael +2 more
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New Wilf-equivalence results for dashed patterns
, 2012 We give a sufficient condition for the two dashed patterns $τ^{(1)}-τ^{(2)}-\cdots-τ^{(\ell)}$ and $τ^{(\ell)}-τ^{(\ell-1)}-\cdots-τ^{(1)}$ to be (strongly) Wilf-equivalent. This permits to solve in a unified way several problems of Heubach and Mansour on Wilf-equivalences on words and compositions, as well as a conjecture of Baxter and Pudwell on Wilf-
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Pattern avoidance and dominating compositions [PDF]
Enumerative Combinatorics and Applications, 2021 Krishna Menon, Anurag Singh
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, 1986 Captioned: "You've got your plaque Wilf, now piss off!" Mr Wilf Stiller (right), receiving a plaque from Geoff Spring, in recognition of his service to Education in the NT.
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, 1940 Half-time at football on the Darwin Oval opposite the (new) Darwin Hotel. The crowd is watching a high jumper.Steenholdt, E.
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A Wilf equivalence related to two stack sortable permutations
, 2005 A permutation is so-called two stack sortable if it (i) avoids the (scattered) pattern 2-3-4-1, and (ii) contains a 3-2-4-1 pattern only as part of a 3-5-2-4-1 pattern. Here we show that the permutations on [n] satisfying condition (ii) alone are equinumerous with the permutations on [n] that avoid the mixed scattered/consecutive pattern 31-4-2.
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The Calkin-Wilf Tree: Extensions and Applications
, 2022 Continued fractions are of current interest in mathematics. In a recent publication, Jack E. Graver describes a method for computing terms in the Calkin-Wilf sequence, a list of the positive rationals introduced by Neil Calkin and Herbert S. Wilf in 2000.
Gobler, Ben
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Sutherland, Wilf: my armed forces experiences (November 25, 2009)
, 2009 : Flight Lieutenant Wilf Sutherland Wilf Sutherland was born in 1920. Upon graduating high school in 1938, Sutherland took a job with the Royal Bank of Canada.
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Enumeration and Wilf-classification of permutations avoiding four patterns of length 4 [PDF]
Discrete Mathematics Letters, 2020 Toufik Mansour
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