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ARTICLES

Public transportation in Great Britain viewed as a complex network

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Pages 722-748 | Received 22 May 2017, Accepted 25 Sep 2018, Published online: 07 Oct 2018

References

  • Albert, R., and A. L. Barabási 2002. “Statistical Mechanics of Complex Networks.” Re-Views of Modern Physics 74 (1): 47–97. doi: 10.1103/RevModPhys.74.47
  • Alessandretti, L., M. Karsai, and L. Gauvin. 2016. “User-Based Representation of Time-Resolved Multimodal Public Transportation Networks.” Royal Society Open Science 3 (7): 160156. doi: 10.1098/rsos.160156
  • Angeloudis, P., and D. Fisk. 2006. “Large Subway Systems as Complex Networks.” Physica A: Statistical Mechanics and its Applications 367: 553–558. doi: 10.1016/j.physa.2005.11.007
  • Barabási, A. L., and R. Albert. 1999. “Emergence of Scaling in Random Networks.” Science 286 (5439): 509–512. doi: 10.1126/science.286.5439.509
  • Barrat, A., M. Barthelemy, and A. Vespignani. 2008. Dynamical Processes on Complex Networks. Cambridge: Cambridge University Press.
  • Barthĺemy, M. 2011. “Spatial Networks.” Physics Reports 499 (1): 1–101. doi: 10.1016/j.physrep.2010.11.002
  • Batty, M. 2008. “The Size, Scale, and Shape of Cities.” Science 319 (5864): 769–771. doi: 10.1126/science.1151419
  • Batty, M., and Y. Xie. 1994. “From Cells to Cities.” Environment and Planning B: Planning and Design 21 (7): S31–S48. doi: 10.1068/b21S031
  • Benguigui, L. 1992. “The Fractal Dimension of Some Railway Networks.” Journal de Physique I 2 (4): 385–388. doi: 10.1051/jp1:1992151
  • Benguigui, L. 1995. “A Fractal Analysis of the Public Transportation System of Paris.” Environment and Planning A 27 (7): 1147–1161. doi: 10.1068/a271147
  • Benguigui, L., and M. Daoud. 1991. “Is the Suburban Railway System a Fractal?” Geographical Analysis 23 (4): 362–368. doi: 10.1111/j.1538-4632.1991.tb00245.x
  • Berche, B., C. von Ferber, and T. Holovatch. 2009. “ Network Harness: Bundles of Routes in Public Transport Networks.” preprint arXiv:0908.1050.
  • Berche, B., C. von Ferber, T. Holovatch, and Y. Holovatch. 2009. “Resilience of Public Transport Networks Against Attacks.” The European Physical Journal B 71 (1): 125–137. doi: 10.1140/epjb/e2009-00291-3
  • Berche, B., C. von Ferber, T. Holovatch, and Y. Holovatch. 2012. “Transportation Network Stability: A Case Study of City Transit.” Advances in Complex Systems 15 (Suppl. 01): 1250063.
  • Bettencourt, L. M., J. Lobo, D. Helbing, and G. B. West. 2007. “Growth, Innovation, Scaling, and the Pace of Life in Cities.” Proceedings of the National Academy of Sciences 104 (17): 7301–7306. doi: 10.1073/pnas.0610172104
  • Bettencourt, L. M., J. Lobo, D. Strumsky, and G. B. West. 2010. “Urban Scaling and Its Deviations: Revealing the Structure of Wealth, Innovation and Crime Across Cities.” PloS One 5 (11): e13541. doi: 10.1371/journal.pone.0013541
  • Bettencourt, L., and G. B. West. 2011. “Bigger Cities Do More With Less.” Scientific American 305 (2): 52–53. doi: 10.1038/scientificamerican0911-52
  • Bozza, A., D. Asprone, and F. Fabbrocino. 2017. “Urban Resilience: A Civil Engineering Perspective.” Sustainability 9 (1): 103. doi: 10.3390/su9010103
  • Chang, H., B. B. Su, Y. P. Zhou, and D. R. He. 2007. “Assortativity and Act Degree Distribution of Some Collaboration Networks.” Physica A: Statistical Mechanics and its Applications 383 (2): 687–702. doi: 10.1016/j.physa.2007.04.045
  • Data. 2012. “ National Transport Data Repository (NTDR) Website.” http://data.gov.uk/dataset/nptdr.
  • Data. 2018. “ Bitbucket.” https://bitbucket.org/deregtr/gb_ptn/src.
  • Dorogotsev, S. N., and J. F. F. Mendes. 2003. Evolution of Networks: From Biological Nets to the Internet and WWW. Oxford: Oxford University Press.
  • Erdös, P., and A. Rényi. 1960. “On the Evolution of Random Graphs.” Publication of the Mathematical Institute of the Hungarian Academy of Sciences 5 (1): 17–60.
  • Frankhauser, P. 1990. “Aspects fractals des structures urbaines.” Espace géographique 19 (1): 45–69. doi: 10.3406/spgeo.1990.2943
  • Fronczak, A., P. Fronczak, and J. A. Hołyst. 2004. “Average Path Length in Random Networks.” Physical Review E 70 (5): 056110. doi: 10.1103/PhysRevE.70.056110
  • Gallotti, R., and M. Barthélemy. 2015. “The Multilayer Temporal Network of Public Transport in Great Britain.” Scientific Data 2: 140056. doi: 10.1038/sdata.2014.56
  • Ghosh, S., A. Banerjee, N. Sharma, S. Agarwal, A. Mukherjee, and N. Ganguly. 2010. “ Structure and evolution of the indian railway network.” Summer Solstice International Conference on Discrete Models of Complex Systems (SOLSTICE), LORIA laboratory, Nancy, France, June 16–18.
  • Guo, L., Y. Zhu, Z. Luo, and W. Li. 2013. “The Scaling of Several Public Transport Networks in China.” Fractals 21 (02): 1350010. doi: 10.1142/S0218348X13500102
  • Guida, M., and F. Maria. 2007. “Topology of the Italian Airport Network: A Scale-Free Small-World Network with a Fractal Structure?” Chaos, Solitons and Fractals 31 (3): 527–536. doi: 10.1016/j.chaos.2006.02.007
  • Guimera, R., S. Mossa, A. Turtschi, and L. N. Amaral. 2005. “The Worldwide Air Transportation Network: Anomalous Centrality, Community Structure, and Cities' Global Roles.” Proceedings of the National Academy of Sciences 102 (22): 7794–7799. doi: 10.1073/pnas.0407994102
  • Guimera, R., M. Sales-Pardo, and L. A. Amaral. 2007. “Classes of Complex Networks Defined by Role-to-Role Connectivity Profiles.” Nature Physics 3 (1): 63–69. doi: 10.1038/nphys489
  • Holovatch, Y., R. Kenna, and S. Thurner. 2017. “Complex Systems: Physics Beyond Physics.” European Journal of Physics 38 (2): 23002. doi: 10.1088/1361-6404/aa5a87
  • Hu, Y., and D. Zhu. 2009. “Empirical Analysis of the Worldwide Maritime Transportation Network.” Physica A: Statistical Mechanics and Its Applications 388 (10): 2061–2071. doi: 10.1016/j.physa.2008.12.016
  • Kim, K. S., L. Benguigui, and M. Marinov. 2003. “The Fractal Structure of Seoul's Public Transportation System.” Cities 20 (1): 31–39. doi: 10.1016/S0264-2751(02)00094-X
  • Kosmidis, K., S. Havlin, and A. Bunde. 2008. “Structural Properties of Spatially Embedded Networks.” EPL (Europhysics Letters) 82 (4): 48005. doi: 10.1209/0295-5075/82/48005
  • Latora, V., and M. Marchiori. 2001. “Efficient Behavior of Small-World Networks.” Physical Review Letters 87 (19): 198701. doi: 10.1103/PhysRevLett.87.198701
  • Latora, V., and M. Marchiori. 2002. “Is the Boston Subway a Small-World Network?” Physica A: Statistical Mechanics and its Applications 314 (1): 109–113. doi: 10.1016/S0378-4371(02)01089-0
  • Levenberg, K. 1944. “A Method for the Solution of Certain Non-Linear Problems in Least Squares.” Quarterly of Applied Mathematics 2 (2): 164–168. doi: 10.1090/qam/10666
  • Liu, C., J. Wang, and H. Zhang. 2017. “Spatial Heterogeneity of Ports in the Global Maritime Network Detected by Weighted Ego Network Analysis.” Maritime Policy and Management 45 (1): 89–104. doi: 10.1080/03088839.2017.1345019
  • Louf, R., C. Roth, and M. Barthelemy. 2014. “Scaling in Transportation Networks.” PLoS One 9 (7): e102007. doi: 10.1371/journal.pone.0102007
  • Makse, H. A., S. Havlin, and H. E. Stanley. 1995. “Modelling Urban Growth.” Nature 377 (1912): 779–782.
  • Molloy, M., and B. Reed. 1995. “A Critical Point for Random Graphs with a Given Degree Sequence.” Random Structures and Algorithms 6 (2–3): 161–180. doi: 10.1002/rsa.3240060204
  • Neal, Z. 2014. “The Devil is in the Details: Differences in Air Traffic Networks by Scale, Species, and Season.” Social Networks 38: 63–73. doi: 10.1016/j.socnet.2014.03.003
  • Newman, M. 2010. Networks: An Introduction. Oxford: Oxford University Press.
  • Pien, K. C., K. Han, W. Shang, A. Majumdar, and W. Ochieng. 2015. “Robustness Analysis of the European Air Traffic Network.” Transportmetrica A: Transport Science 11 (9): 772–792. doi: 10.1080/23249935.2015.1087233
  • Sen, P., S. Dasgupta, A. Chatterjee, P. A. Sreeram, G. Mukherjee, and S. S. Manna. 2003. “Small-World Properties of the Indian Railway Network.” Physical Review E 67 (3): 036106. doi: 10.1103/PhysRevE.67.036106
  • Sienkiewicz, J., and J. A. Hołyst. 2005. “Statistical Analysis of 22 Public Transport Networks in Poland.” Physical Review E 72 (4): 046127. doi: 10.1103/PhysRevE.72.046127
  • Soh, H., S. Lim, T. Zhang, X. Fu, G. K. K. Lee, T. G. G. Hung, P. Di, S. Prakasam, and L. Wong. 2010. “Weighted Complex Network Analysis of Travel Routes on the Singapore Public Transportation System.” Physica A: Statistical Mechanics and Its Applications 389 (24): 5852–5863. doi: 10.1016/j.physa.2010.08.015
  • Seaton, K. A., and L. M. Hackett. 2004. “Stations, Trains and Small-World Networks.” Physica A: Statistical Mechanics and Its Applications 339 (3): 635–644. doi: 10.1016/j.physa.2004.03.019
  • Sui, Y., F. J. Shao, R. C. Sun, and S. J. Li. 2012. “Space Evolution Model and Empirical Analysis of an Urban Public Transport Network.” Physica A: Statistical Mechanics and Its Applications 391 (14): 3708–3717. doi: 10.1016/j.physa.2012.01.011
  • Sun, X., S. Wandelt, and X. Cao. 2017. “On Node Criticality in Air Transportation Networks.” Networks and Spatial Economics 17 (3): 737–761. doi: 10.1007/s11067-017-9342-5
  • Sun, X., S. Wandelt, and M. Zanin. 2017. “Worldwide Air Transportation Networks: A Matter of Scale and Fractality?” Transportmetrica A: Transport Science 13 (7): 607–630. doi: 10.1080/23249935.2017.1312632
  • Thibault, S., and A. Marchand. 1987. Rśeaux et topologie. Technical report. Villeur-banne: Labo-ratoire Méthodes, Institut National Des Sciences Appliques de Lyon (INSA), 15.
  • Torres, L., R. Torres, R. Borndorfer, and M. E. Pfetsch. 2011. “Line Planning on Tree Networks with Applications to the Quito Trolebus System.” International Transactions in Operational Research 13 (7): 607–630.
  • von Ferber, C., B. Berche, T. Holovatch, and Y. Holovatch. 2012. “A Tale of Two Cities.” Journal of Transportation Security 5 (3): 199–216. doi: 10.1007/s12198-012-0092-9
  • von Ferber, C., and Y. Holovatch. 2013. “Fractal Transit Networks: Self-Avoiding Walks and Lévy Flights.” The European Physical Journal Special Topics 216 (1): 49–55. doi: 10.1140/epjst/e2013-01728-0
  • von Ferber, C., T. Holovatch, Y. Holovatch, and V. Palchykov. 2007. “Network Harness: Metropolis Public Transport.” Physica A: Statistical Mechanics and Its Applications 380: 585–591. doi: 10.1016/j.physa.2007.02.101
  • von Ferber, C., T. Holovatch, Y. Holovatch, and V. Palchykov. 2009. “Public Transport Networks: Empirical Analysis and Modeling.” The European Physical Journal B 68 (2): 261–275. doi: 10.1140/epjb/e2009-00090-x
  • von Ferber, C., Y. Holovatch, and V. Palchykov. 2005. “ Scaling in Public Transport Networks.” preprint cond-mat/0501296.
  • Watts, D. J., and S. H. Strogatz. 1998. “Collective Dynamics of ‘Small-World’ Networks.” Nature 393 (6684): 440–442. doi: 10.1038/30918
  • Xing, Y., J. Lu, S. Chen, and S. Dissanayake. 2017. “Vulnerability Analysis of Urban Rail Transit Based on Complex Network Theory: A Case Study of Shanghai Metro.” Public Transport 9 (3): 501–525. doi: 10.1007/s12469-017-0170-2
  • Xu, X., J. Hu, F. Liu, and L. Liu. 2007a. “Scaling and Correlations in Three Bus-Transport Networks of China.” Physica A: Statistical Mechanics and Its Applications 374 (1): 441–448. doi: 10.1016/j.physa.2006.06.021
  • Xu, X., J. Hu, F. Liu, and L. Liu. 2007b. “Empirical Analysis of the Ship-Transport Network of China.” Chaos 17: 023129.
  • Yang, X. H., G. Chen, B. Sun, S. Y. Chen, and W. L. Wang. 2011. “Bus Transport Network Model with Ideal n-Depth Clique Network Topology.” Physica A: Statistical Mechanics and Its Applications 390 (23): 4660–4672. doi: 10.1016/j.physa.2011.06.078
  • Zhang, J., X. B. Cao, W. B. Du, and K. Q. Cai. 2010. “Evolution of Chinese Airport Network.” Physica A: Statistical Mechanics and Its Applications 389 (18): 3922–3931. doi: 10.1016/j.physa.2010.05.042
  • Zhang, J., F. Hu, S. Wang, Y. Dai, and Y. Wang. 2016a. “Structural Vulnerability and Intervention of High Speed Railway Networks.” Physica A: Statistical Mechanics and Its Applications 462: 743–751. doi: 10.1016/j.physa.2016.06.132
  • Zhang, J., B. Song, Z. Zhang, and H. Liu. 2014. “An Approach for Modeling Vulnerability of the Network of Networks.” Physica A: Statistical Mechanics and Its Applications 412: 127–136. doi: 10.1016/j.physa.2014.06.035
  • Zhang, J., S. Wang, Z. Zhang, K. Zou, and Z. Shu. 2016b. “Characteristics on Hub Networks of Urban Transit Networks.” Physica A: Statistical Mechanics and its Applications 447: 502–507. doi: 10.1016/j.physa.2015.12.060
  • Zhang, J., M. Zhao, H. Liu, and X. Xu. 2013. “Networked Characteristics of the Urban Rail Transit Networks.” Physica A: Statistical Mechanics and Its Applications 392: 1538–1546. doi: 10.1016/j.physa.2012.11.036

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