On AB bond percolation on the square lattice and AB site percolation on its line graph

نویسنده

  • Xian-Yuan Wu
چکیده

We prove that AB site percolation occurs on the line graph of the square lattice when p ∈ (1− √ 1− pc, √ 1− pc), where pc is the critical probability for site percolation in Z. Also, we prove that AB bond percolation does not occur on Z for p = 1 2 .

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تاریخ انتشار 2004