62 citations · 124 across the 15 of their papers we have counts for
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Link between bipartite and general unicellular toroidal maps via slit--slide--sew bijections
Jérémie Bettinelli, Dimitri Korkotashvili
We relate general maps to bipartite maps through a bijection of type slit-slide-sew. We provide an involution on arbitrary genus maps with even degree faces. This enables a full in…
Slit-slide-sew bijections for oriented planar maps
Jérémie Bettinelli, Éric Fusy, Baptiste Louf
We construct growth bijections for bipolar oriented planar maps and for Schnyder woods. These give direct combinatorial proofs of several counting identities for these objects. Our…
Slit-slide-sew bijections for constellations and quasiconstellations
Jérémie Bettinelli, Dimitri Korkotashvili
We extend so-called slit-slide-sew bijections to constellations and quasiconstellations. We present an involution on the set of hypermaps given with an orientation, one distinguish…
Slit-slide-sew bijections for bipartite and quasibipartite plane maps
Jérémie Bettinelli
We unify and extend previous bijections on plane quadrangulations to bipartite and quasibipartite plane maps. Starting from a bipartite plane map with a distinguished edge and two…
A bijective study of Basketball walks
Jérémie Bettinelli, Éric Fusy, Cécile Mailler +1
The Catalan numbers count many classes of combinatorial objects. The most emblematic such objects are probably the Dyck walks and the binary trees, and, whenever another class of c…
A simple explicit bijection between (n,2) Gog and Magog trapezoids
Jérémie Bettinelli
A sub-problem of the open problem of finding an explicit bijection between alternating sign matrices and totally symmetric self-complementary plane partitions consists in finding a…
A bijection for nonorientable general maps
Jérémie Bettinelli
We give a different presentation of a recent bijection due to Chapuy and Dolęga for nonorientable bipartite quadrangulations and we extend it to the case of nonorientable general m…