4 papers
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, Ãric 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…
Compact Brownian surfaces II. Orientable surfaces
Jérémie Bettinelli, Grégory Miermont
Fix an arbitrary compact orientable surface with a boundary and consider a uniform bipartite random quadrangulation of this surface with faces and boundary component lengths of…