Criticality of networks with long-range connections
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摘要:
The formation of giant clusters,namely the percolation phase transition,is one of the most widely studied critical phenomena on networks.The critical behaviors of percolation in oneand two-dimensional lattices have been given in the book [1].For d-dimensional lattices,the critical exponents of percolation change with d until the upper critical dimension du =6,above which they are independent of d and become meanfield like.It is also well known that the critical behaviors of percolation on Erd(o)s-Rényi (ER) networks are also meanfield like [2,3].