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user6976

Percolation on Cayley graphs of groups is a particular case of percolation on transitive graphs. Percolation on transitive graphs satisfies many important properties which do not hold in general (see this and this paper. Thatpapers. That provides a motivation. The Cayley graphs of semigroups are typically not transitive. Nevertheless some Cayley graphs of semigroups have been considered. For example percolation on the NE quadrant of the square lattice (which is the Cayley graph of the free commutative semigroup) is considered here.

Percolation on Cayley graphs of groups is a particular case of percolation on transitive graphs. Percolation on transitive graphs satisfies many important properties which do not hold in general (see this paper. That provides a motivation. The Cayley graphs of semigroups are typically not transitive. Nevertheless some Cayley graphs of semigroups have been considered. For example percolation on the NE quadrant of the square lattice (which is the Cayley graph of the free commutative semigroup) is considered here.

Percolation on Cayley graphs of groups is a particular case of percolation on transitive graphs. Percolation on transitive graphs satisfies many important properties which do not hold in general (see this and this papers. That provides a motivation. The Cayley graphs of semigroups are typically not transitive. Nevertheless some Cayley graphs of semigroups have been considered. For example percolation on the NE quadrant of the square lattice (which is the Cayley graph of the free commutative semigroup) is considered here.

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user6976
user6976

Percolation on Cayley graphs of groups is a particular case of percolation on transitive graphs. Percolation on transitive graphs satisfies many important properties which do not hold in general (see this paper. That provides a motivation. The Cayley graphs of semigroups are typically not transitive. Nevertheless some Cayley graphs of semigroups have been considered. For example percolation on the NE quadrant of the square lattice (which is the Cayley graph of the free commutative semigroup) is considered here.