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20072021
most citedZeros of the Möbius function of permutations

2 citations · 3 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.CO2021

Griddings of permutations and hardness of pattern matching

Vít Jelínek, Michal Opler, Jakub Pekárek

We study the complexity of the decision problem known as Permutation Pattern Matching, or PPM. The input of PPM consists of a pair of permutations (the `text') and (the `pa…

math.CO2020

A Complexity Dichotomy for Permutation Pattern Matching on Grid Classes

Vít Jelínek, Michal Opler, Jakub Pekárek

Permutation Pattern Matching (PPM) is the problem of deciding for a given pair of permutations P and T whether the pattern P is contained in the text T. Bose, Buss and Lubiw showed…

math.CO2020

Fillings of skew shapes avoiding diagonal patterns

Vít Jelínek, Mark Karpilovskij

A skew shape is the difference of two top-left justified Ferrers shapes sharing the same top-left corner. We study integer fillings of skew shapes. As our first main result, we sho…

math.CO2019

Two examples of Wilf-collapse

Michael Albert, Vít Jelínek, Michal Opler

Two permutation classes, the X-class and subpermutations of the increasing oscillation are shown to exhibit an exponential Wilf-collapse. This means that the number of distinct enu…

math.CO2019★ 1 cited

Wilf collapse in permutation classes

Michael Albert, Vít Jelínek, Michal Opler

For a hereditary permutation class , we say that two permutations and of are Wilf-equivalent in , if has the same numb…

math.CO2018★ 2 cited

Zeros of the Möbius function of permutations

Robert Brignall, Vít Jelínek, Jan Kynčl +1

We show that if a permutation contains two intervals of length 2, where one interval is an ascent and the other a descent, then the Möbius function of the interval $[1,π…