Mathematical Analysis of Urban Spatial Networks

  • Philippe Blanchard
  • Dimitri Volchenkov

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Philippe Blanchard, Dimitri Volchenkov
    Pages 1-54
  3. Philippe Blanchard, Dimitri Volchenkov
    Pages 55-100
  4. Philippe Blanchard, Dimitri Volchenkov
    Pages 101-136
  5. Philippe Blanchard, Dimitri Volchenkov
    Pages 137-150
  6. Philippe Blanchard, Dimitri Volchenkov
    Pages 151-157
  7. Back Matter
    Pages 159-181

About this book


Cities can be considered to be among the largest and most complex artificial networks created by human beings. Due to the numerous and diverse human-driven activities, urban network topology and dynamics can differ quite substantially from that of natural networks and so call for an alternative method of analysis.

The intent of the present monograph is to lay down the theoretical foundations for studying the topology of compact urban patterns, using methods from spectral graph theory and statistical physics. These methods are demonstrated as tools to investigate the structure of a number of real cities with widely differing properties: medieval German cities, the webs of city canals in Amsterdam and Venice, and a modern urban structure such as found in Manhattan.

Last but not least, the book concludes by providing a brief overview of possible applications that will eventually lead to a useful body of knowledge for architects, urban planners and civil engineers.


STATISTICA architects city topology studies environment graph theory statistical physics urban geography urban network complexity urban networks urban topology analysis

Authors and affiliations

  • Philippe Blanchard
    • 1
  • Dimitri Volchenkov
    • 1
  1. 1.University Bielefeld and Research Center BiBoSBielefeld-Bonn-Stochastics Universitätsstr. 25Germany

Bibliographic information

Industry Sectors
Finance, Business & Banking