2 papers
math.CO2018
Stack-Sorting, Set Partitions, and Lassalle's Sequence
Colin Defant, Michael Engen, Jordan A. Miller
We exhibit a bijection between recently-introduced combinatorial objects known as valid hook configurations and certain weighted set partitions. When restricting our attention to s…
math.CO2018
Intersections, circuits, and colorability of line segments
Boris Brimkov, Jesse Geneson, Alathea Jensen +2
We derive sharp upper and lower bounds on the number of intersection points and closed regions that can occur in sets of line segments with certain structure, in terms of the numbe…