Bond percolation critical probability bounds derived by edge contraction
- 21 March 1988
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (6) , 1487-1492
- https://doi.org/10.1088/0305-4470/21/6/026
Abstract
A contraction principle is valid for bond percolation models. If Gc is obtained from G by contraction of a set of edges, then the bond percolation critical probabilities satisfy pc(Gc)c(G). The contraction principle provides relationships between graphs which do not follow from the inclusion principle. Application of the principle provides the following bounds: 0.5000c pentagon lattice c Kagome lattice c (dice lattice).Keywords
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