The uniform infinite cubic planar graph

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Planar graphs; geometric and topological aspects of graph theory (05C10)

Cites Work

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Multi-point functions of weighted cubic maps
Triangles in random cubic planar graphs
Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
Percolation on uniform infinite planar maps
Uniform infinite planar triangulations
The scaling limit of random simple triangulations and random simple quadrangulations
Enumeration of labeled 4-regular planar graphs
Cubic graphs and related triangulations on orientable surfaces
Local convergence of large critical multi-type Galton-Watson trees and applications to random maps
Asymptotic normality determined by high moments, and submap counts of random maps
On the expected number of perfect matchings in cubic planar graphs
Quenched local convergence of Boltzmann planar maps
Local limits of bipartite maps with prescribed face degrees in high genus
Local limits of uniform triangulations in high genus
Recurrence of bipartite planar maps
Local convergence of random planar graphs
Random maps, coalescing saddles, singularity analysis, and Airy phenomena
Graph classes with given 3-connected components: asymptotic enumeration and random graphs
A view from infinity of the uniform infinite planar quadrangulation
A Census of Planar Triangulations
Random cubic planar graphs
Random Graphs from a Minor-Closed Class
The Size of the Largest Components in Random Planar Maps
Gibbs partitions: The convergent case
Further results on random cubic planar graphs
Random cubic planar maps
Cut vertices in random planar graphs
Phase transitions of composition schemes: Mittag-Leffler and mixed Poisson distributions