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arXiv · cond-mat/0310777

Hamiltonian walks on Sierpinski and n-simplex fractals

Jelena Stajic·Suncica Elezovic-Hadzic
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Abstract

We study Hamiltonian walks (HWs) on Sierpinski and $n$--simplex fractals. Via numerical analysis of exact recursion relations for the number of HWs we calculate the connectivity constant $ω$ and find the asymptotic behaviour of the number of HWs. Depending on whether or not the polymer collapse transition is possible on a studied lattice, different scaling relations for the number of HWs are obtained. These relations are in general different from the well-known form characteristic of homogeneous lattices which has thus far been assumed to hold for fractal lattices too.

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Jelena Stajic, Suncica Elezovic-Hadzic. 2005-06-08. Hamiltonian walks on Sierpinski and n-simplex fractals. https://doi.org/10.1088/0305-4470%2F38%2F25%2F006

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