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Graphs and Networks

Multilevel Modeling

Graphs and Networks by Philippe Mathis
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This book concerns the use of graphs for the simulation and representation of mainly transport networks. The aim of the book is to treat networks in both spatial analysis and urban management, together with the simulation by graph theory, a tool that makes it possible to solve various classic problems such as high-speed roads between one or more origins and destinations, the capacity of a network, etc. It is also possible to apply these results to other applications such as personal networks and communications networks. Part 1. Graph theory and the modeling of networks: 1. The variability of road networks: application to London – Manuel Appert, Laurent Chapelon. 2. Modeling of displacement on a stepladder – Fabrice Decoupigny. 3. Determination of optimum pathways in a time delay graph – Hervé Baptiste. 4. Modeling of a transport system and its effects on an urban system – Hervé Baptiste. Part 2. Graph theory and the representation of networks: 5. Dynamic simulation of the urban reorganization of the town of Tours – Philippe Mathis. 6. Social networks and the games people play – Sébastien Larribe. 7. RESCOM: towards a multiagent GIS for the sociocultural network of communication within a town – Ossama Khaddour. 8. Traffic lanes and the emission of pollutants – Christophe Decoupigny. Part 3. Towards a theory of multi-level graphs: 9. Graph theory and the representation of distances: time charts and other representations – Alain L'Hostis. 10. The spatio-temporal evaluation of the co-visibility of countryside management – Kamal Serrhini. 11. Dynamics and von Thünen’s model: duality and multiple levels – Philippe Mathis. 12. The representation of graphs: a part of complete graph theory – Philippe Mathis. 13. Practical examples – Philippe Mathis. Philippe Mathis, EPHE, teaches at the University of Tours, France. He has been Dean of the Planning Dot. and Director of the CESA where he has created and headed a research laboratory. He has been commissioned for numerous studies in the planning field at local and regional levels as well as by the Ministry of Equipment. He is consultant for DATAR, and European Lead partner of the EPSON Project 1.2.1 "Transport Services and Networks". His main research area is space and transport modeling: graphs theory, urban societies' dynamics, and currently multilevel modeling and Multi Agents Systems.
ISTE; October 2006
367 pages; ISBN 9781847045584
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Title: Graphs and Networks
Author: Philippe Mathis