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arXiv · 2207.12253

Scaling limit of graph classes through split decomposition

Frédérique Bassino·Mathilde Bouvel·Valentin Féray·Lucas Gerin·Adeline Pierrot
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Abstract

We prove that Aldous' Brownian CRT is the scaling limit, with respect to the Gromov--Prokhorov topology, of uniform random graphs in each of the three following families of graphs: distance-hereditary graphs, $2$-connected distance-hereditary graphs and $3$-leaf power graphs. Our approach is based on the split decomposition and on analytic combinatorics.

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Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot. 2022-07-25. Scaling limit of graph classes through split decomposition. https://arxiv.org/abs/2207.12253

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