Exact enumeration of Hamiltonian circuits, walks and chains in two and three dimensions

DOI10.1088/1751-8113/40/49/003zbMath1135.82011arXiv0709.2322OpenAlexW3099013843MaRDI QIDQ5432625

Jesper Lykke Jacobsen

Publication date: 17 December 2007

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.2322

zbMATH Keywords

phase transitionpolymersHamiltonian circuitLee-Yang zerosHamiltonian chain problem

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (13)

Semi-flexible compact polymers in two dimensional nonhomogeneous confinement ⋮ 1-complex \(s\), \(t\) Hamiltonian paths: structure and reconfiguration in rectangular grids ⋮ Reconfiguration of Hamiltonian Cycles in Rectangular Grid Graphs ⋮ 1-Complex $s,t$ Hamiltonian Paths: Structure and Reconfiguration in Rectangular Grids ⋮ A family of irreducible supersingular representations of \(\mathrm{GL}_2(F)\) for some ramified \(p\)-adic fields ⋮ The structure of the 2-factor transfer digraph common for rectangular, thick cylinder and Moebius strip grid graphs ⋮ Some new characterizations of Hamiltonian cycles in triangular grid graphs ⋮ A limit conjecture on the number of Hamiltonian cycles on thin triangular grid cylinder graphs ⋮ Enumerating Hamiltonian cycles ⋮ A model of compact polymers on a family of three-dimensional fractal lattices ⋮ Enumeration of labeled and unlabeled Hamiltonian cycles in complete \(k\)-partite graphs ⋮ Reconfiguring simple \(s\), \(t\) Hamiltonian paths in rectangular grid graphs ⋮ Enumeration of Hamiltonian cycles on a thick grid cylinder - part I: Non-contractible Hamiltonian cycles

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