David I. Bevan

activity

20132026

most citedGrowth rates of permutation grid classes, tours on graphs, and the spectral radius

8 citations · 30 across the 12 of their papers we have counts for

collaborators

Showing 2019 · math.COShow all

2 papers · 2 filters

math.CO2019★ 5 cited

Permutations with few inversions are locally uniform

David Bevan

We prove that permutations with few inversions exhibit a local-global dichotomy in the following sense. Suppose $σ$ is a permutation chosen uniformly at random from th…

math.CO2019

Bijections between directed animals, multisets and Grand-Dyck paths

Jean-Luc Baril, David Bevan, Sergey Kirgizov

An $n$ -multiset of $[k] = {1, 2, \dots, k}$ consists of a set of $n$ elements from $[k]$ where each element can be repeated. We present the bivariate generating function for $n$ -mul…