Johannes Kepler Symposium für Mathematik
Im Rahmen des Johannes-Kepler-Symposiums für Mathematik wird Prof. Dr. Yurij Holovatch, Laboratory for Statistical Physics of Complex Systems, Institute for Condensed Matter Physics, National Academy of Science of Ukraine, am Wed, June 28, 2006 um 17:00 Uhr im HS 9 einen öffentlichen Vortrag (mit anschließender Diskussion) zum Thema "Complex networks: from random graphs to public transport" halten, zu dem die Veranstalter des Symposiums,O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, und
die ÖMG (Österreichische Mathematische Gesellschaft)
hiermit herzlich einladen.
Series A - General Colloquium:
The intention is to present general information not only to experts, but also to students and guests from outside the mathematical institutes.
Complex networks: from random graphs to public transport
The science of networks is now experiencing a real boom. This one can check for example by surfing the web. The last, being a complex network itself, serves as an object of study and as a source of data on various networked systems (e.g. social, informational, technological, or biological networks). In this talk, after introducing main concepts relating to network theory, I revue recent developments in the field. An original part of the talk reports our recent studies of the public transport networks of a number of major cities of the world. Our findings for the statistics as well as for relations between the topology and vulnerability of these networks are supported by simulations of an evolutionary model of the public transport networks that we propose.