Increasing Forests and Quadrangulations via a Bijective Approach

Details Increasing Forests and Quadrangulations via a Bijective Approach Increasing Forests and Quadrangulations via a Bijective Approach

2012-03-11

arxiv.org/abs/1203.2365v1

Mathematics

Probability

Scientific paper

In this work, we expose four bijections each allowing to increase (or decrease) one parameter in either uniform random forests with a fixed number of edges and trees, or quadrangulations with a boundary having a fixed number of faces and a fixed boundary length. In particular, this gives a way to sample a uniform quadrangulation with n + 1 faces from a uniform quadrangulation with n faces.

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