Spanning forests in regular planar maps
From MaRDI portal
Publication:491963
DOI10.1016/j.jcta.2015.04.002zbMath1319.05070arXiv1306.4536OpenAlexW2164119028MaRDI QIDQ491963
Mireille Bousquet-Mélou, Julien Courtiel
Publication date: 19 August 2015
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.4536
Trees (05C05) Graph polynomials (05C31) Enumeration in graph theory (05C30) Signed and weighted graphs (05C22)
Related Items (6)
Random tree-weighted graphs ⋮ Counting coloured planar maps: differential equations ⋮ Is the full susceptibility of the square-lattice Ising model a differentially algebraic function? ⋮ Critical behaviour of spanning forests on random planar graphs ⋮ The generating function of planar Eulerian orientations ⋮ Spanning trees in random series-parallel graphs
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Scaling limits of random planar maps with large faces
- A bijection for triangulations, quadrangulations, pentagulations, etc.
- Planar maps and continued fractions
- Census of planar maps: From the one-matrix model solution to a combinatorial proof
- Spanning forests on random planar lattices
- D-finite power series
- A characterization of the Tutte polynomial via combinatorial embeddings
- The asymptotic number of rooted maps on a surface
- Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
- Chip firing and the Tutte polynomial
- The sand-pile model and Tutte polynomials
- Growth and percolation on the uniform infinite planar triangulation
- Loop models, random matrices and planar algebras
- On the Lambert \(w\) function
- Planar diagrams
- Characteristic points of recursive systems
- The dilute Potts model on random surfaces
- Counting colored planar maps: algebraicity results
- Invariance principles for random bipartite planar maps
- Infinite-order phase transition in a classical spin system
- The Potts model and the Tutte polynomial
- Random maps, coalescing saddles, singularity analysis, and Airy phenomena
- More on theO(n) model on random maps via nested loops: loops with bending energy
- Counting planar maps, coloured or uncoloured
- A recursive approach to theO(n) model on random maps via nested loops
- A Census of Planar Triangulations
- Exact solutions and infinite-order phase transitions for a general class of Ising models on the regularized Apollonian network
- A Bijection for Rooted Maps on Orientable Surfaces
- Blocked edges on Eulerian maps and mobiles: application to spanning trees, hard particles and the Ising model
- A Boltzmann Approach to Percolation on Random Triangulations
- The phase transition in the uniformly grown random graph has infinite order
- Loop models on random maps via nested loops: the case of domain symmetry breaking and application to the Potts model
- On the Enumeration of Tree-Rooted Maps
- On the average activity of a spanning tree of a rooted map
- Chromatic Sums for Rooted Planar Triangulations: The Cases λ = 1 and λ = 2
- A Census of Planar Maps
- A Contribution to the Theory of Chromatic Polynomials
- The Potts-\(q\) random matrix model: Loop equations, critical exponents, and rational case.
- Dichromatic polynomials and Potts models summed over rooted maps
This page was built for publication: Spanning forests in regular planar maps
