On the absence of infinite AB percolation clusters in bipartite graphs
- 21 June 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (9) , 2527-2531
- https://doi.org/10.1088/0305-4470/20/9/036
Abstract
The authors give a rigorous proof that infinite AB percolation does not occur for any parameter value in a certain class of bipartite planar graphs. In particular, infinite AB percolation cannot occur on the square lattice.Keywords
This publication has 3 references indexed in Scilit:
- Infinite AB percolation clusters exist on the triangular latticeJournal of Physics A: General Physics, 1987
- A lower bound for the critical probability of the square lattice site percolationProbability Theory and Related Fields, 1985
- Antipercolation on Bethe and triangular latticesJournal of Physics A: General Physics, 1983