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- W1996311100 abstract "Abstract Kasteleyn's treatment of the hamiltonian walk problem on lattice graphs is briefly reviewed. The asymptotic behaviour of the number of hamiltonian walks on the kth covering of a closed oriented lattice graph is expressed in terms of the asymptotic behaviour of the number of oriented trees on the lattice graph. Asymptotic results on the enumeration of hamiltonian walks are presented for the covering and underlying lattices of the Manhattan oriented square lattice, and the covering lattices of certain orientations of the diamond and cubic lattices. The effect of boundary conditions is examined. Relations are established between hamiltonian walks and close-packed polymer configurations. An analysis of the assumptions in lattice models of the melting and glass transitions in polymers shows that the Flory-Huggins approximation underestimates the total number of polymer configurations, but that corrections can be made without altering the principal features of the models thus permitting better agreement with the experimental data." @default.
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- W1996311100 date "1976-01-01" @default.
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- W1996311100 title "Hamiltonian walks and polymer configurations" @default.
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- W1996311100 doi "https://doi.org/10.1016/0378-4371(76)90002-9" @default.
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