Atli Fannar Franklín

collaborators

2 papers

cs.DM2024

Restricted Permutations Enumerated by Inversions

Atli Fannar Franklín, Anders Claesson, Christian Bean +2

Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposab…

math.CO2023

Permutations with few inversions

Anders Claesson, Atli Fannar Franklín, Einar Steingrímsson

A curious generating function $S_{0} (x)$ for permutations of $[n]$ with exactly $n$ inversions is presented. Moreover, $(x C (x))^{i} S_{0} (x)$ is shown to be the generating function for pe…