6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CO2024
Asymptotic expansion of regular and connected regular graphs
Élie de Panafieu
We derive the asymptotic expansion (asymptotics with an arbitrary number of error terms) of k-regular graphs by applying the Laplace method on a recent exact formula from Caizergue…
math.PR2021
Limit Distribution of Two Skellam Distributions, Conditionally on Their Equality
François Durand, Élie de Panafieu
Consider two random variables following Skellam distributions of parameters going to infinity linearly. We prove that the limit distribution of the first variable, conditionally on…
math.CO2019★ 6 cited
Symbolic method and directed graph enumeration
Élie de Panafieu, Sergey Dovgal
We introduce the arrow product, a systematic generating function technique for directed graph enumeration. It provides short proofs for previous results of Gessel on the number of…