Let's Connect
Follow Us
Watch Us
(+385) 1 2380 262
journal.prometfpz.unizg.hr
Promet - Traffic&Transportation journal

Accelerating Discoveries in Traffic Science

Accelerating Discoveries in Traffic Science

PUBLISHED
13.06.2014
LICENSE
Copyright (c) 2024 Katarzyna KOCUR-BERA

SCALE-FREE NETWORK THEORY IN STUDYING THE STRUCTURE OF THE ROAD NETWORK IN POLAND

Authors:Katarzyna KOCUR-BERA

Abstract

This paper discusses the issue of statistical analysis of traffic flow in different regions of Poland. Such analysis allows us to identify “valuable (sensitive) areas” whose damage or blockage may provoke considerable disturbances or even a stoppage of traffic flow in the examined road network. The results of the studies indicate that the road network in Poland has the properties of a scale-free network. The distribution of the examined variables does not have a normal character, whereas the relationship between the number of nodes and the number of connections is a power-law feature.

 

Keywords:transport, traffic, safety, critical points

References

  1. Albert, R., Jeong, H., Barabási, A.L.: Diameter of the world-wide web. Science 401, pp. 130-131, 1999

    Erickson, B.H.: Secret societies and social structure. Social Forces, 60, pp. 188-210, 1981

    Krebs, V.: Mapping networks of terrorist cells. Connections, 24, pp. 43-52, 2002

    Aleksiejuk, A., Hołyst, J.A., Stauffer, D.: Transition in Barabási-Albert networks. Physica A, 310, pp.: 260-266, 2002

    Latané, B.: The psychology of social impact. American Psychologist, 36, pp.: 343-356, 1981

    Vallacher, R.R., Nowak, A.: Dynamical systems in social psychology. Academic Press, San Diego, 1999

    Garlaschelli, D., Loffredo, M.I. : Fitness-dependent topological properties of the World Trade Web. Physical Review Letters, 93 (18): 188701, 2004

    Garlaschelli, D., Loffredo, M.I. : Structure and evolution of the World Trade Network. Physica A, 355(1):138-144, 2005

    Garlaschelli, D., Di Matteo T., Aste T., Caldarelli, G., Loffredo M.I. : Interplay between topology and dynamics in the World Trade Web. European Physical Journal B, 57: 159-164, 2007

    Lewis, T. G.: Critical Infrastructure Protection in Homeland Security: Defending a Networked Nation, Wiley, Aoboken, NJ, 2006

    Bendyk, E.: Antymatrix. Człowiek w labiryncie sieci. Wydawnictwo W.A.B., 2004

    Watts, D.J.: Small-worlds: the dynamics of networks between order and randomness. Princeton University Press, Princeton NJ, 1999

    Barabási, A. L., Jeong H., Néda, Z., R., Erzsebet, S., A., Vicsek, T.: Evolution of the social network of scientific collaborations. Physica a, 311(4), pp. 590–614, 2002

    Redner, S.: How popular is your paper? An empirical study of citation distribution. European Physical Journal B, 4(2), pp.131–134, 1998

    Wang J., Mo H., Wang F., Jin F.: Exploring the network structure and nodal centrality of China’s air transport network: A complex network approach. Journal of Transport Geography 19, pp. 712–721, 2011.

    http://dx.doi.org/10.1016/j.jtrangeo.2010.08.012

    Jiang B.: Street Hierarchies: A Minority of Streets Account for a Majority of Traffic Flow. International Journal of Geographical Information Science, 23 (8), 1033-1048, 2009

    Bono, F., Gutiérre, E.: A network-based analysis of the impact of structural damage on urban accessibility following a disaster: the case of the seismically damaged Port Au Prince and Carrefour urban road networks. Journal of Transport Geography 19, 1443–1455, 2011

    Zhang, H., Li, Z.L.: Fractality and self-similarity in the structure of road networks. Annals of the Association of American Geographers, 102 (2), pp. 350-365, 2012

    Wang, F., Antipova A., Porta S.: Street centrality and land use intensity in Baton Rouge, Louisiana. Journal of Transport Geography 19, pp. 582-293, 2011

    Delling, D., Pajor, Th., Werneck, R. F.: Round-Based Public Transit Routing. Proceedings of the 14th Meeting on Algorithm Engineering and Experiments (ALENEX'12) Publisher: Society for Industrial and Applied Mathematics, 2012

    Kalapala, V., Sanwalani, V., Clauset, A., Moore, C.: Scale invariance In Road Networks. Physical Review E, 73: 026130, 2006

    Sienkiewicz, J., Hołyst, J. A.: Statistical analysis of 22 public transport networks in Poland. PHYSICAL REVIEW E 72, 046127, 2005, DOI: 10.1103/PhysRevE.72.046127

    Główny Urząd Statystyczny, 2010. Transport – wyniki działalności w 2009 roku., Warszawa ISSN 1506-7998 (available: http://www.stat.gov.pl)

    Ustawa o drogach publicznych z 21 marca 1985 roku (Dziennik Ustaw Nr 14, pozycja 60 z późniejszymi zmianami), (available at: http://isap.sejm.gov.pl/DetailsServlet?id=WDU19850140060)

    Kocur-Bera, K.: Specyfika finansowania sieci drogowych. Acta Scientiarum Polonorum, Administratio Locorum, Real Estate Management, 10 (2), pp. 59-68, 2011

    Fronczak, A., Fronczak, P.: Świat sieci złożonych. Od fizyki do Internetu. Wydawnictwo Naukowe PWN, 2009

    Cohen, R., Erez, K., ben-Avraham, D., Havlin, S.: Resilience of the Internet to random breakdowns. Physical Review Letters, 85: 4626, 2000

    Cohen, R., Erez, K., ben-Avraham, D., Havlin, S.: Breakdown of the Internet under international attack. Physical Review Letters, 86: 3682, 2001

    Clauset, A., Shalizi, C.-R., Newman, M.E.J.: Power-law distributions in empirical data. SIAM Rev. 51 (4), pp. 661-703, 2009

    Kocur-Bera, K.: Geoinformacja w zarządzaniu siecią transportową część 1. Acta Scientiarum Polonorum, Administratio Locorum, Real Estate Management, 9 (3), pp. 55-62, 2010.

Show more


Accelerating Discoveries in Traffic Science |
2024 © Promet - Traffic&Transportation journal