Robert P. Laudone

activity

20172026

most citedSyzygies of secant ideals of Plücker-embedded Grassmannians are generated in bounded degree

6 citations · 12 across the 18 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

Pattern restricted parking functions with limited preferences

Kassie Archer, Robert Laudone

A parking function is said to have $ℓ$ -limited preferences if there are at most $ℓ$ copies of each element in the parking function. In this paper, we define a notion of patte…

math.CO2026

Pattern avoidance in canon permutations

Robert Laudone

A canon permutation is a $k$ -regular word over $[n]$ in which, for each $j$ , the $j$ -th copies of the letters form the same permutation $σ$ . These were introduced by Elizalde as a…

math.CO2026

A lower bound on the growth rate of $(132, 213)$ -avoiding cyclic permutations

Robert Laudone

We construct a new reduction process which takes a $(132, 213)$ -avoiding permutation to a shorter one that is cyclic if and only if the original was. Iterating it determines whether…

math.CO2026

Arrow pattern avoidance in permutations: structure and enumeration

Kassie Archer, Robert P. Laudone

Arrow patterns were introduced by Berman and Tenner as a generalization of vincular patterns. They observed that arrow patterns have the potential to bridge the divide between a pe…

Pattern restricted parking functions with limited preferences

Pattern avoidance in canon permutations

A lower bound on the growth rate of (132,213)-avoiding cyclic permutations

Arrow pattern avoidance in permutations: structure and enumeration

A lower bound on the growth rate of $(132, 213)$ -avoiding cyclic permutations