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Complex Networks team
http://complexnetworks.fr
LIP6 laboratory (CNRS, Universit´e Pierre et Marie Curie)
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Networks/graphs from di↵erent contexts
computer science: internet, P2P, web, usages, etc.
social sciences: friendships, communications, collaborations, exchanges, economics, etc.
biology: brain, genes, proteins, ecosystems, etc.
linguistics: synonymy, co-occurrences, etc.
transportation: roads, air, electrical networks, etc etc
Various contexts, but common properties
common problems to solve
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Some common questions
Measurement and metrology
How to acquire data about these networks? Reliability?
Algorithmic questions
Efficient computations on very large networks
Modelling
Generate artificial networks resembling a given network )Goals: understanding, simulations, . . .
Analysis
How to describe the structure of very large networks?
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Algorithms for dynamical networks (link stream) (C.Magnien)
Generic dynamics
How todescribethe dynamics?
evolution speed?
variety of behaviours?
. . .
Algorithmic questions How to define and compute:
degree, clique
distance (shortest path) connectedness, spanning trees . . .
Define equivalent notions to what exists in graph theory
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Towards more realistic bipartite models (F. Tarissan)
Random generation : ErdösRényi Con g.Model
size and density
+ degree
distribution +
Random Bipartite local density +
Real graph redundancy+ ?
A B C D
↵
3 2
1 4 5 6 t
A B C D
↵
3 2
1 4 5 6
A B C D
3 2
1 4 5 6 t
Rand Bip A B C D
5 2
1 3 4 6
Questions :Whichtripartiterandomization?
Theoretical issues: Expected properties?
Algorithmic issues: How to enumerate efficiently the overlapping patterns?
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Characterizing navigation traces (L. Tabourier)
Data:individual navigation traces including temporal info (logs)
on platforms (commercial, media websites) with information about category Short-term questions:
How to characterize the traces ? classify individual behaviors ? Long-term question:
How to measure the e↵ect of the recommendation on individual behaviors ?
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Conclusion
All topics require
some data manipulation some formal approaches
taste in interdisciplinary matters To be discussed with the applicant
All topics can lead to a PhD
More details: http://www.complexnetworks.fr/projects/
Contact: stages@complexnetworks.fr
