Hamiltonian Cycles on a Random Three-coordinate Lattice
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Hamiltonian Cycles on a Random Three-coordinate Lattice. / Eynard, B.; Guitter, E.; Kristjansen, C.
In: Nuclear Physics B, Vol. 528, No. 3, 27.01.1998, p. 523-532.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Hamiltonian Cycles on a Random Three-coordinate Lattice
AU - Eynard, B.
AU - Guitter, E.
AU - Kristjansen, C.
N1 - 10 pages, LaTeX, 3 eps-figures, one reference added
PY - 1998/1/27
Y1 - 1998/1/27
N2 - Consider a random three-coordinate lattice of spherical topology having 2v vertices and being densely covered by a single closed, self-avoiding walk, i.e. being equipped with a Hamiltonian cycle. We determine the number of such objects as a function of v. Furthermore we express the partition function of the corresponding statistical model as an elliptic integral.
AB - Consider a random three-coordinate lattice of spherical topology having 2v vertices and being densely covered by a single closed, self-avoiding walk, i.e. being equipped with a Hamiltonian cycle. We determine the number of such objects as a function of v. Furthermore we express the partition function of the corresponding statistical model as an elliptic integral.
KW - cond-mat.stat-mech
KW - hep-lat
KW - hep-th
U2 - 10.1016/S0550-3213(98)00391-5
DO - 10.1016/S0550-3213(98)00391-5
M3 - Journal article
VL - 528
SP - 523
EP - 532
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
SN - 0550-3213
IS - 3
ER -
ID: 186914539