Monte Carlo study of the percolating cluster for the square lattice site problem
- 1 May 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (5), 1835-1840
- https://doi.org/10.1088/0305-4470/13/5/042
Abstract
Clusters which just span finite lattices of various sizes have been generated using a Monte Carlo method. These have been analysed to form estimates of the mean values of cyclomatic index, valence and perimeter. In addition the shortest spanning self-avoiding walk has been characterised. The ramified nature of these clusters is discussed in terms of these properties.Keywords
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