Eulerian orientations and the six-vertex model on planar maps

zbMath1435.05058arXiv1902.07369MaRDI QIDQ2306542

Elvey Price Andrew, Zinn-Justin Paul, Mireille Bousquet-Mélou

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07369

zbMATH Keywords

planar mapssix vertex modelEulerian orientationsmatrix integralselliptic theta functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Enumeration in graph theory (05C30) Planar graphs; geometric and topological aspects of graph theory (05C10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

The six-vertex model on random planar maps revisited ⋮ The generating function of planar Eulerian orientations

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Random planar lattices and integrated superBrownian excursion
• Counting planar Eulerian orientations
• The On-Line Encyclopedia of Integer Sequences
• The generating function of planar Eulerian orientations
• On the number of planar Eulerian orientations
• Trees and spatial topology change in CDT
• Tessellations of random maps of arbitrary genus
• A Cubic Counterpart of Jacobi's Identity and the AGM
• Exact solution of the six-vertex model on a random lattice.

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