Hamiltonian Cycles on a Random Three-coordinate Lattice
Research output: Contribution to journal › Journal article › Research › peer-review
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.
Original language | English |
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Journal | Nuclear Physics B |
Volume | 528 |
Issue number | 3 |
Pages (from-to) | 523-532 |
ISSN | 0550-3213 |
DOIs | |
Publication status | Published - 27 Jan 1998 |
ID: 186914539