On adaptability and "intermediate phase" in randomly connected networks

Details On adaptability and "intermediate phase" in randomly connected networks On adaptability and "intermediate phase" in randomly connected networks

2004-08-17

arxiv.org/abs/cond-mat/0408385v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.94.208701

We present a simple model that enables us to analytically characterize a floppy to rigid transition and an associated self-adaptive intermediate phase in a random bond network. In this intermediate phase, the network adapts itself to lower the stress due to constraints. Our simulations verify this picture. We use these insights to identify applications of these ideas in computational problems such as vertex cover and K-SAT.

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