Hamiltonian cycles on random lattices of arbitrary genus

DOI10.1016/S0550-3213(98)00786-XzbMath0942.82004arXivcond-mat/9806349OpenAlexW2015466209MaRDI QIDQ1571922

Saburo Higuchi

Publication date: 12 July 2000

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9806349

zbMATH Keywords

random graphsHamiltonian cycleregular latticesrandom trivalent fat graph

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Eulerian and Hamiltonian graphs (05C45)

Cites Work

• Unnamed Item
• Microscopic and macroscopic loops in nonperturbative two-dimensional gravity
• Quantum field theory techniques in graphical enumeration
• Hamiltonian cycles on a random three-coordinate lattice
• Field theory of compact polymers on the square lattice
• Planar diagrams
• Critical behaviour of the fully packed loop model on the square lattice
• Operator spectrum and exact exponents of the fully packed loop model
• Exact Results for Hamiltonian Walks from the Solution of the Fully Packed Loop Model on the Honeycomb Lattice

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