Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 30: Poster II
DY 30.18: Poster
Donnerstag, 29. März 2007, 16:00–18:00, Poster D
Resilience of public transport networks against attacks — •Christian von Ferber1,2, Taras Holovatch3, Yurij Holovatch4,5, and Vasyl Palchykov4 — 1Applied Mathematics Research Centre, Coventry University, UK — 2Theoretische Polymerphysik, Universität Freiburg — 3Ivan Franko University of Lviv, Ukraine — 4Institute for Condensed Matter Physics, National Academy of Sciences Ukraine, Lviv — 5Institut für Theoretische Physik, Universität Linz, Österreich
In a recent study of metropolis public transport networks (PTN) we show
that these - like many other complex networks - may exhibit scale
free behavior [physics/0608125]. In particular, the number of neighboring stations k
of a given station is often found to be distributed as P(k)∼ k−λ,
For ideal scale free networks the exponent λ determines the
percolation properties, i.e. if λ<3 no percolation threshold
exists and a giant connected component persists no matter how many nodes
are removed.
Here, we analyse a number of PTNs of metropolitan areas and extract correlations
between the resilience threshold against targeted attacks and their architecture
as measured by network characteristics that we find to vary considerably
among cities. We develop and simulate an evolutionary model of PTNs that
reproduces their key features.
Yu Holovatch was supported by FWF (Austria), Projekt P16574,
CvF by the European Community through MTKD-CT-2004-517186.