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Pré-Publication, Document De Travail Année : 2012

Increasing Forests and Quadrangulations via a Bijective Approach

Jérémie Bettinelli

Résumé

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 or a uniform forest with n+1 edges and p trees from a uniform forest with n edges and p trees.
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Dates et versions

hal-00677939 , version 1 (10-03-2012)
hal-00677939 , version 2 (06-12-2012)
hal-00677939 , version 3 (06-09-2013)

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Jérémie Bettinelli. Increasing Forests and Quadrangulations via a Bijective Approach. 2012. ⟨hal-00677939v2⟩
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