David Marchant

activity

20172020

most citedThe Möbius function of permutations with an indecomposable lower bound

7 citations · 9 across the 4 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

2413-balloon permutations and the growth of the Möbius function

David Marchant

We show that the growth of the principal Möbius function on the permutation poset is exponential. This improves on previous work, which has shown that the growth is at least polyno…

math.CO2018★ 2 cited

Zeros of the Möbius function of permutations

Robert Brignall, Vít Jelínek, Jan Kynčl +1

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

math.CO2018

Intervals of permutations and the principal Möbius function

Robert Brignall, David Marchant

We show that the proportion of permutations of length $n$ with principal Möbius function equal to zero, $Z (n)$ , is asymptotically bounded below by 0.3995. If a permutation $π$ cont…