4 papers
Block-weighted random graphs: planar and beyond
Mihyun Kang, Zéphyr Salvy, Ronen Wdowinski
We investigate random connected graphs from a block-stable class whose distribution is weighted based on the number of -connected components, or blocks. This includes the class…
Asymptotic Transfer in Critical Recursive Composition Schemes
Michael Drmota, Zéphyr Salvy
The composition of two combinatorial classes and is a standard combinatorial construction and translates into the compos…
Phase transition for tree-rooted maps
Marie Albenque, Ãric Fusy, Zéphyr Salvy
We introduce a model of tree-rooted planar maps weighted by their number of -connected blocks. We study its enumerative properties and prove that it undergoes a phase transition…
Unified study of the phase transition for block-weighted random planar maps
Zéphyr Salvy
In [Fleurat, Salvy 2024], we introduced a model of block-weighted random maps that undergoes a phase transition as the density of separating elements changes. The purpose of this n…