163 citations · 827 across the 46 of their papers we have counts for
3 papers · 1 filter
Statistics of planar graphs viewed from a vertex: A study via labeled trees
J. Bouttier, P. Di Francesco, E. Guitter
We study the statistics of edges and vertices in the vicinity of a reference vertex (origin) within random planar quadrangulations and Eulerian triangulations. Exact generating fun…
Random trees between two walls: Exact partition function
J. Bouttier, P. Di Francesco, E. Guitter
We derive the exact partition function for a discrete model of random trees embedded in a one-dimensional space. These trees have vertices labeled by integers representing their po…
Geodesic Distance in Planar Graphs
J. Bouttier, P. Di Francesco, E. Guitter
We derive the exact generating function for planar maps (genus zero fatgraphs) with vertices of arbitrary even valence and with two marked points at a fixed geodesic distance. This…