Johannes Kepler Symposium on Mathematics

As part of the Johannes Kepler symposium on mathematics Prof. Dr. Yurij Holovatch, Laboratory for Statistical Physics of Complex Systems, Institute for Condensed Matter Physics, National Academy of Science of Ukraine, will give a public talk (followed by a discussion) on Wed, June 28, 2006 at 15:00 o'clock at HS 9 on the topic of "Complex networks: from random graphs to public transport" . The organziers of the symposium,

O.Univ.-Prof. Dr. Ulrich Langer,
Univ.-Prof. Dr. Gerhard Larcher
A.Univ.-Prof. Dr. Jürgen Maaß, and
die ÖMG (Österreichische Mathematische Gesellschaft),

hereby cordially invite you.

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.