Toulouse Complex Network (WP3)

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Advanced mathematics for network analysis

(4 day workshop)

Sunday may 1, 2016 – Wenesday may 4, 2016

Hôtel Le Majestic ***

Boulevard Amédée Fontan,

31110 Bagnères-de-Luchon (France)

phone: 0562007570



C Bordenave (IMT), S Cafieri (ENAC), E Fieux (IMT), B Georgeot (LPT), B Jouve (FRAMESPA/IMT), N Villa-Vialaneix (INRA MIAT)

Aim and Scope: Advanced mathematics for network analysis

The analysis of relational aspects in data provides access to a point of view that is not accessible by usual statistical methods on individuals/variable matrices. When it is justified, the construction of relational data allows us to analyse structural properties, local or global: neighbourhood, density of links, degree and centrality of a node, length of shortest path, … The graph, as a mathematical object, is the natural model for that type of data and graph theory is a source of tools for network analysis. However, graph theory is seldom used in its full power for the analysis of real networks, due to the scope of the theory and the diversity of the results and tools that have been developed. In this workshop, expert researchers will give lectures in order to present recent directions and advanced tools for network analysis, particularly in order to deal with the dynamics, the critical states, the break-up mechanisms or the micro-meso-macro transitions. One session will also be dedicated to short presentations by the participants and another one will be reserved to business use cases. Researchers from companies are welcome to attend.


The workshop is open but registration is necessary. To register, please fill in the form available from registration.

Each participant, except the invited speakers, will have to pay lodging. Lunches are offered.

Collective transportation form Toulouse to Luchon and back will be provided on April 30 and May 4.

Some supports, particularly for PhD students, are available. To apply, please send an Email to in which you detail you research and the motivation for support in a half page, and send it before the 1st of March 2016.



morning afternoon
1/5/2016 9H00-10H30 : complex networks

Bertrand Jouve (FRAMESPA/IMT, Toulouse)

Eric Fleury (LIP, ENS Lyon)

14H00-15H30 : complex network and economics

Agnieszka Rusinowska (PSE, Paris)

11H00-12H30 : random model 1

Charles Bordenave (IMT, Toulouse) (random matrix theory)

16H00-17H30 : models of communication networks

Florian Simatos (ISAE, Toulouse) (renormalisation on graphs)

2/5/2016 9H00-10H30 : network decomposition 1

Ararat Harutyunyan (IMT, Toulouse) (spectral analysis, coloring)

14H00-15H30 : complex networks and biology

Etienne Birmelé (MAP5, Paris)

11H00-12H30 : random model 2

Bertrand Georgeot (LPT, Toulouse) (google matrix: theory and applications)

16H00-18H00 : applications: business use cases session
3/5/2016 9H00-10H30 : network decomposition 2

Sonia Cafieri (ENAC, Toulouse) (optimisation of clustering)

14H00-15H30 : graph mining 2

Nathalie Villa-Vialaneix (INRA, Toulouse)

11H00-12H30 : graph mining 1

Pierre Borgnat (Lab Phys, ENS Lyon) (signal processing on graphs)


16H00-18H00 : short talks

by the participants



4/5/2016 9H00-10H30 : hereditary properties 1

Etienne Fieux (IMT, Toulouse) (k-dismantlability)

11H00-12H30 : hereditary properties 2

Patrice Ossona (CAMS, Paris) (sparsity)

Jaroslav Nesetril (ITCS, Prague)


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