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Author:

Fu, Tao (Fu, Tao.) | Chen, Yini (Chen, Yini.) | Qin, Zhen (Qin, Zhen.) | Guo, Liping (Guo, Liping.)

Indexed by:

EI Scopus SCIE

Abstract:

Many realistic networks live in the form of multiple networks, including interacting networks and interdependent networks. Here we study percolation properties of a special kind of interacting networks, namely Shopping and Cashback Electronic Commerce Networks (SCECNs). We investigate two actual SCECNs to extract their structural properties, and develop a mathematical framework based on generating functions for analyzing directed interacting networks. Then we derive the necessary and sufficient condition for the absence of the system-wide giant in- and out- component, and propose arithmetic to calculate the corresponding structural measures in the sub-critical and supercritical regimes. We apply our mathematical framework and arithmetic to those two actual SCECNs to observe its accuracy, and give some explanations on the discrepancies. We show those structural measures based on our mathematical framework and arithmetic are useful to appraise the status of SCECNs. We also find that the supercritical regime of the whole network is maintained mainly by hyperlinks between different kinds of websites, while those hyperlinks between the same kinds of websites can only enlarge the sizes of in-components and out-components. (c) 2013 Elsevier B.V. All rights reserved.

Keyword:

Interacting networks Percolation Directed graph Generating function

Author Community:

  • [ 1 ] [Fu, Tao]Beijing Univ Technol Tongzhou, Expt Sch, Beijing 101101, Peoples R China
  • [ 2 ] [Qin, Zhen]Beijing Univ Technol Tongzhou, Expt Sch, Beijing 101101, Peoples R China
  • [ 3 ] [Guo, Liping]Beijing Univ Technol Tongzhou, Expt Sch, Beijing 101101, Peoples R China
  • [ 4 ] [Chen, Yini]Xian Technol Univ, Econ & Management Sch, Xian 710032, Peoples R China

Reprint Author's Address:

  • [Chen, Yini]Xian Technol Univ, Econ & Management Sch, Xian 710032, Peoples R China

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Source :

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

ISSN: 0378-4371

Year: 2013

Issue: 12

Volume: 392

Page: 2807-2820

3 . 3 0 0

JCR@2022

ESI Discipline: PHYSICS;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 7

SCOPUS Cited Count: 8

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Affiliated Colleges:

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