Results 131 to 139 of about 181,403 (139)

New Wilf-Equivalence Results for Vincular Patterns

European Journal of Combinatorics, 2013
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Further Refinements of Wilf-Equivalence for Patterns of Length 4

Journal of Combinatorial Theory - Series A
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robin D P Zhou, Sherry H F Yan
exaly   +2 more sources

Wilf Equivalences for Patterns in Rooted Labeled Forests

Advances in Applied Mathematics
Building off recent work of Garg and Peng, we continue the investigation into classical and consecutive pattern avoidance in rooted forests, resolving some of their conjectures and questions and proving generalizations whenever possible. Through extensions of the forest Simion-Schmidt bijection introduced by Anders and Archer, we demonstrate a new ...
exaly   +5 more sources

Proof of a Conjecture on the Shape-Wilf-Equivalence for Partially Ordered Patterns

European Journal of Combinatorics
A partially ordered pattern (abbreviated POP) is a partially ordered set (poset) that generalizes the notion of a pattern when we are not concerned with the relative order of some of its letters. The notion of partially ordered patterns provides a convenient language to deal with large sets of permutation patterns.
Sherry H F Yan
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The Permutations 123 p 4 … p m and 321 p 4 … p m are Wilf-Equivalent

Graphs and Combinatorics, 2000
Write p 1, p 2…p m for the permutation matrix δ pi, j . Let S n (M) be the set of n×n permutation matrices which do not contain the m×m permutation matrix M as a submatrix. In [7] Simion and Schmidt show bijectively that |S n
Eric Babson, Julian West
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Wilf equivalences of inversion-sequence patterns: length-4 classification completed, length-5 openings, and the staircase-prefix invariant

Kernel-checked resolution of the last open case (3012 ≡ 3201) of the Hong–Li length-4 Wilf classification on inversion sequences — completing the length-4 classification; fifteen length-5 Wilf equivalences (first classical results at length ≥ 5); and the staircase-prefix invariant (SPI) programme: first distinguishing length, class sizes Σ c!, and the ...
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Operators of Equivalent Sorting Power and Related Wilf-Equivalences

Electronic Journal of Combinatorics, 2014
Michael H. Albert, Mathilde Bouvel
exaly  

Enumeration of 2-Wilf Classes of Four 4-Letter Patterns

Turkish Journal of Analysis and Number Theory, 2017
Toufik Mansour
exaly  

Wilf Classes for Weak Ascent Sequences Avoiding a Pair or Triple of Length-3 Patterns

Discrete Mathematics
Toufik Mansour, David Callan
exaly