88 citations · 292 across the 36 of their papers we have counts for
42 papers · 1 filter
Leap generators for composition schemes
Éric Fusy, Carine Pivoteau
Leap generators have been introduced in [Duchon et al.'04] for exact-size random generation of structures in a class of the form (sequence c…
A Schnyder-type drawing algorithm for 5-connected triangulations
Olivier Bernardi, Éric Fusy, Shizhe Liang
We define some Schnyder-type combinatorial structures on a class of planar triangulations of the pentagon which are closely related to 5-connected triangulations. The combinatorial…
Enumeration of corner polyhedra and 3-connected Schnyder labelings
Éric Fusy, Erkan Narmanli, Gilles Schaeffer
We show that corner polyhedra and 3-connected Schnyder labelings join the growing list of planar structures that can be set in exact correspondence with (weighted) models of quadra…
On the enumeration of plane bipolar posets and transversal structures
Éric Fusy, Erkan Narmanli, Gilles Schaeffer
We show that plane bipolar posets (i.e., plane bipolar orientations with no transitive edge) and transversal structures can be set in correspondence to certain (weighted) models of…
Maps of unfixed genus and blossoming trees
Éric Fusy, Emmanuel Guitter
We introduce bijections between families of rooted maps with unfixed genus and families of so-called blossoming trees endowed with an arbitrary forward matching of their leaves. We…
Polyharmonic functions and random processes in cones
Francois Chapon, Eric Fusy, Kilian Raschel
We investigate polyharmonic functions associated to Brownian motion and random walks in cones. These are functions which cancel some power of the usual Laplacian in the continuous…