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)<or=pc(G). The contraction principle provides relationships between graphs which do not follow from the inclusion principle. Application of the principle provides the following bounds: 0.5000<or=pc pentagon lattice <or=0.6527; pc Kagome lattice <or=0.6180; 0.3820<or=pc (dice lattice).
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