61 citations · 137 across the 14 of their papers we have counts for
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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…
Local convergence of large random triangulations coupled with an Ising model
Marie Albenque, Laurent Ménard, Gilles Schaeffer
We prove the existence of the local weak limit of the measure obtained by sampling random triangulations of size decorated by an Ising configuration with a weight proportional…
Fighting Fish: enumerative properties
Enrica Duchi, Veronica Guerrini, Simone Rinaldi +1
Fighting fish were very recently introduced by the authors as combinatorial structures made of square tiles that form two dimensional branching surfaces. A main feature of these fi…
Bijections for simple and double Hurwitz numbers
Enrica Duchi, Dominique Poulalhon, Gilles Schaeffer
We give a bijective proof of Hurwitz formula for the number of simple branched coverings of the sphere by itself. Our approach extends to double Hurwitz numbers and yields new prop…
Regular colored graphs of positive degree
Razvan Gurau, Gilles Schaeffer
Regular colored graphs are dual representations of pure colored D-dimensional complexes. These graphs can be classified with respect to an integer, their degree, much like maps are…