Pattern Avoidance in Weak Ascent Sequences [PDF]
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi +2 more
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Interval and $\ell$-interval Rational Parking Functions [PDF]
Interval parking functions are a generalization of parking functions in which cars have an interval preference for their parking. We generalize this definition to parking functions with $n$ cars and $m\geq n$ parking spots, which we call interval ...
Tomás Aguilar-Fraga +14 more
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Weighted cylindric partitions. [PDF]
Bridges W, Uncu AK.
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Vertically symmetric alternating sign matrices (VSASMs) of order $2n+1$ are known to be equinumerous with lozenge tilings of a hexagon with side lengths $2n+2,2n,2n+2,2n,2n+2,2n$ and a central triangular hole of size $2$ that exhibit
Ilse Fischer, Hans Höngesberg
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Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]
Alimpiev E, Rosenberg NA.
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Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations. [PDF]
Mansour T, Rastegar R, Roitershtein A.
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Compositions of n as alternating sequences of weakly increasing and strictly decreasing partitions
Blecher Aubrey +2 more
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Two explicit formulas for the generalized Motzkin numbers. [PDF]
Zhao JL, Qi F.
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Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models. [PDF]
Chauve C, Ponty Y, Wallner M.
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A note on [Formula: see text]-Bernstein polynomials and their applications based on [Formula: see text]-calculus. [PDF]
Agyuz E, Acikgoz M.
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