Schnyder Orientations for d-Irreducible Maps - 16

Explore a bijective approach for planar maps through this 38-minute conference talk that reviews joint research with Olivier Bernardi on certain orientations inspired by the Bouttier Di Francesco Guitter bijection between maps and mobiles, and Bernardi's bijection for tree-rooted maps. Learn how this method applies to simple triangulations using Schnyder orientations with vertex outdegrees 3, and discover its extension to d-angulations of girth d and planar maps of girth d with controlled face-degrees. Examine the recent advancement of this technique to d-irreducible maps through collaborative work with Olivier Bernardi and Shizhe Liang, building upon previous bijective counting methods by Bouttier and Guitter using slice decompositions.