3 papers
math.CO2026
Distance statistics of block-weighted planar quadrangulations
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We study random planar quadrangulations in which each block -- i.e., each simple (without multiple edges) component -- is assigned a weight . We derive an explicit expression fo…
math.CO2024
Enumeration of planar bipartite tight irreducible maps
Jérémie Bouttier, Emmanuel Guitter, Hugo Manet
We consider planar bipartite maps which are both tight, i.e. without vertices of degree , and -irreducible, i.e. such that each cycle has length at least and such that…
cs.CG2019
Topology-Preserving Terrain Simplification
Ulderico Fugacci, Michael Kerber, Hugo Manet
We give necessary and sufficient criteria for elementary operations in a two-dimensional terrain to preserve the persistent homology induced by the height function. These operation…