Simple Formulas for Constellations and Bipartite Maps with Prescribed Degrees
From MaRDI portal
Publication:5146205
DOI10.4153/S0008414X19000555zbMath1471.05047arXiv1904.05371OpenAlexW4297813604MaRDI QIDQ5146205
Publication date: 25 January 2021
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.05371
Exact enumeration problems, generating functions (05A15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10)
Related Items
Local limits of bipartite maps with prescribed face degrees in high genus ⋮ The mesoscopic geometry of sparse random maps
Cites Work
- Unnamed Item
- Unnamed Item
- Generating functions of bipartite maps on orientable surfaces
- A simple model of trees for unicellular maps
- Monotone Hurwitz numbers and the HCIZ integral
- A generic method for bijections between blossoming trees and planar maps
- A bijection for triangulations, quadrangulations, pentagulations, etc.
- A new combinatorial identity for unicellular maps, via a direct bijective approach
- Planar stochastic hyperbolic triangulations
- Counting surfaces. CRM Aisenstadt chair lectures
- The KP hierarchy, branched covers, and triangulations
- The asymptotic number of rooted maps on a surface
- An analog of the Harer-Zagier formula for unicellular bicolored maps
- The number of degree restricted maps on general surfaces
- Toda equations for Hurwitz numbers
- The Toda equations and the Gromov-Witten theory of the Riemann sphere
- Factorizations of large cycles in the symmetric group
- Fermionic approach to weighted Hurwitz numbers and topological recursion
- Planar maps as labeled mobiles
- Simple recurrence formulas to count maps on orientable surfaces
- 2D Toda \(\tau\)-functions as combinatorial generating functions
- Virasoro constraints and topological recursion for Grothendieck's dessin counting
- Blossoming bijection for higher-genus maps
- Counting rooted maps by genus. I
- Asymptotic Enumeration of Constellations and Related Families of Maps on Orientable Surfaces
- A Bijection for Rooted Maps on Orientable Surfaces
- A Census of Planar Maps
- A new family of bijections for planar maps
- Infinite wedge and random partitions