2 papers
math.CO2024
Introducing irrational enumeration: analytic combinatorics for objects of irrational size
David Bevan, Julien Condé
We extend the scope of analytic combinatorics to classes containing objects that have irrational sizes. The generating function for such a class is a power series that admits irrat…
math.CO2024
On cycles in monotone grid classes of permutations
David Bevan, Robert Brignall, Nik Ruškuc
We undertake a detailed investigation into the structure of permutations in monotone grid classes whose row-column graphs do not contain components with more than one cycle. Centra…