CONSTRUCTING SCALE-FREE NETWORKS WITH A GIVEN CLUSTER COEFFICIENT

Mohammad Ariapour () and Ehsan Nedaaee Oskoee ()
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Mohammad Ariapour: Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran
Ehsan Nedaaee Oskoee: Institute for Advanced Studies in Basic Sciences (IASBS), Gava Zang, Zanjan 45137-66731, Iran

International Journal of Modern Physics C (IJMPC), 2013, vol. 24, issue 02, 1-14

Abstract: We introduce a new generation rule for local thresholding in scale-free networks based on the nodes' degree. The resulting networks are disassortative with a hierarchical structure. There is, however, a subnet of the nodes, which we call the active nodes, which is neither disassortative nor has such a structure. It is shown that networks with a wide range of cluster coefficients, ranging from very small to close to unity and with scaling exponent from 2.5 to 4 are generated by the new method, which mimic some important real-world networks.

Keywords: Complex networks; scale-free networks; clustering; global efficiency; 05.10.-a; 89.75.Hc; 89.65.-s; 02.50.-r (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1142/S0129183113500034

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