Journal
PHYSICAL REVIEW LETTERS
Volume 103, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.103.135702
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Funding
- KOSEF [R17-2007-073-01001-0]
- NAP
- National Research Foundation of Korea [과06A1102, R17-2007-073-01001-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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It has been recently shown that the percolation transition is discontinuous in Erdos-Renyi networks and square lattices in two dimensions under the Achlioptas process (AP). Here, we show that when the structure is highly heterogeneous as in scale-free networks, a discontinuous transition does not always occur: a continuous transition is also possible depending on the degree distribution of the scale-free network. This originates from the competition between the AP that discourages the formation of a giant component and the existence of hubs that encourages it. We also estimate the value of the characteristic degree exponent that separates the two transition types.
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