The three-point function of general planar maps
Combinatorics
2015-07-21 v1 Mathematical Physics
math.MP
Abstract
We compute the distance-dependent three-point function of general planar maps and of bipartite planar maps, i.e., the generating function of these maps with three marked vertices at prescribed pairwise distances. Explicit expressions are given for maps counted by their number of edges only, or by both their numbers of edges and faces. A few limiting cases and applications are discussed.
Cite
@article{arxiv.1403.3514,
title = {The three-point function of general planar maps},
author = {Éric Fusy and Emmanuel Guitter},
journal= {arXiv preprint arXiv:1403.3514},
year = {2015}
}
Comments
33 pages, 12 figures