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COMMENTS AND REPLIES

Reply to the comment on 'Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees'

Tomoaki Nogawa et al 2009 J. Phys. A: Math. Theor. 42 478002 (4pp)   doi: 10.1088/1751-8113/42/47/478002  Help

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Tomoaki Nogawa1 and Takehisa Hasegawa2
1 Department of Applied Physics, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
2 Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan
E-mail: nogawa@serow.t.u-tokyo.ac.jp

Abstract. We discuss the nature of the two-stage percolation transition on the enhanced binary tree in order to explain the disagreement in the estimation of the second transition probability between the one in our recent paper (2009 J. Phys. A: Math. Theor. 42 145001) and the other in the comment to it from Baek et al (2009 J. Phys. A: Math. Theor. 42 478001). We point out some reasons that the finite size scaling analysis used by them is not proper for the enhanced tree due to its nonamenable nature, which is verified by some numerical results.

PACS numbers: 64.60.ah, 68.35.Rh, 64.60.al, 89.75.Hc

Print publication: Issue 47 (27 November 2009)
Received 4 August 2009
Published 4 November 2009

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