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Hamiltonian Cycles on a Random Three-coordinate Lattice

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftNuclear Physics B
Vol/bind528
Udgave nummer3
Sider (fra-til)523-532
ISSN0550-3213
DOI
StatusUdgivet - 27 jan. 1998

Bibliografisk note

10 pages, LaTeX, 3 eps-figures, one reference added

    Forskningsområder

  • cond-mat.stat-mech, hep-lat, hep-th

ID: 186914539