| CROSS-DISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY |
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A Dynamic Evolution Model of Airline Networks |
| Ze-Jun Xie**, Lu-Man Zhang, Sheng-Feng Deng, Wei Li |
College of Physical Science and Technology, Central China Normal University, Wuhan 430079
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| Cite this article: |
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Ze-Jun Xie, Lu-Man Zhang, Sheng-Feng Deng et al 2017 Chin. Phys. Lett. 34 058902 |
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Abstract Empirical data show that most of the degree distribution of airline networks assume a double power law. In this work, firstly, we assume cities as sites, flight between two cities as an edge between two sites, and build a dynamic evolution model for airline networks by improving the BA model, in which the conception of attractiveness plays a decisive role in the course of evolution of the networks. To this end, we discuss whether the attractiveness depends on the site label $s$ or not separately, finally we obtain analytic degree distribution. As a result, if the attractiveness of a site is independent of the degree distribution of sites, which will follow the double power law, otherwise, it will be scale-free. Moreover, degree distribution depends on the parameters of the models, and some parameters are more sensitive than others.
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Received: 11 January 2017
Published: 29 April 2017
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 10975057, and the Programme of Introducing Talents of Discipline to Universities under Grant No B08033. |
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| [1] | Barabási A L, Albert R and Jeong H 1999 Physica A 272 173 | | [2] | Amaral L A N, Scala A, Barthelemy M and Stanley H E 2000 Proc. Natl. Acad. Sci. USA 97 11149 | | [3] | Barrat A, Barthelemy M, Pastor-Satorras R and Vespignani A 2004 Proc. Natl. Acad. Sci. USA 101 3747 | | [4] | Barrat A, Barthélemy M and Vespignani A 2005 J. Stat. Mech: Theory Exp. 2005 P05003 | | [5] | Guimera R and Amaral L A N 2004 Eur. Phys. J. B 38 381 | | [6] | Guimera R, Mossa S, Turtschi A and Amaral L A 2005 Proc. Natl. Acad. Sci. USA 102 7794 | | [7] | Barthélemy M, Barrat A, Pastor-Satorras R and Vespignani A 2005 Physica A 346 34 | | [8] | Chi L P, Wang R, Su H, Xu X P, Zhao J S, Li W and Cai X 2003 Chin. Phys. Lett. 20 1393 | | [9] | Wang R and Cai X 2005 Chin. Phys. Lett. 22 2715 | | [10] | Li W and Cai X 2004 Phys. Rev. E 69 046106 | | [11] | Dorogovtsev S N, Mendes J F F and Samukhin A N 2000 Phys. Rev. Lett. 85 4633 | | [12] | Bateman and Harry 1953 Higher Transcendental Functions vol I–III (New York: McGraw-Hill Book Company) | | [13] | Bagler and Ganesh 2008 Physica A 387 2972 | | [14] | Guida M and Maria F 2007 Chaos Solitons Fractals 31 527 |
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