L. A. Adamic and N. Glance, The political blogosphere and the 2004 us election: divided they blog, Proceedings of the 3rd international workshop on Link discovery, pp.36-43, 2005.

Y. Y. Ahn, J. P. Bagrow, and S. Lehmann, Link communities reveal multiscale complexity in networks, Nature, vol.80, issue.7307, pp.761-764, 2010.
DOI : 10.1038/nature09182

J. Alvarez-hamelin, L. Asta, A. Barrat, and A. Vespignani, Large scale networks fingerprinting and visualization using the k-core decomposition Advances in neural information processing systems 18, p.41, 2006.

B. C. Arnold, Majorization and the Lorenz order: a brief introduction, 1987.
DOI : 10.1007/978-1-4615-7379-1

A. Barabási and R. Albert, Emergence of scaling in random networks, science, vol.286, issue.5439, pp.509-512, 1999.

V. Batagelj, M. Zaversnik, V. Batagelj, and M. Zaversnik, Collaboration network in computational geometry URL http://vlado.fmf. uni-lj.si An o (m) algorithm for cores decomposition of networks, p.310049, 2002.

R. Bauer, M. Krug, and D. Wagner, Enumerating and generating labeled k-degenerate graphs, 7th Workshop on Analytic Algorithmics and Combinatorics (ANALCO), pp.90-98, 2010.

M. Baur, U. Brandes, M. Gaertler, and D. Wagner, Drawing the AS Graph in 2.5 Dimensions, pp.43-48, 2005.
DOI : 10.1007/978-3-540-31843-9_6

K. Bhawalkar, J. Kleinberg, K. Lewi, T. Roughgarden, and A. Sharma, Preventing unraveling in social networks: the anchored k-core problem, Automata, Languages, and Programming, pp.440-451, 2012.

S. Carmi, S. Havlin, S. Kirkpatrick, Y. Shavitt, and E. Shir, A model of Internet topology using k-shell decomposition, Proceedings of the National Academy of Sciences, vol.104, issue.27, pp.150-161, 2007.
DOI : 10.1073/pnas.0701175104

R. L. Cross and A. Parker, The hidden power of social networks: Understanding how work really gets done in organizations, 2004.

D. Eppstein, M. Löffler, and D. Strash, Listing All Maximal Cliques in Sparse Graphs in Near-Optimal Time, p.5440, 2010.
DOI : 10.1007/978-3-642-17517-6_36

P. Erd?-os and A. Hajnal, On chromatic number of graphs and set-systems, Acta Mathematica Academiae Scientiarum Hungaricae, vol.24, issue.66, pp.61-99, 1966.
DOI : 10.1007/BF02020444

P. Erdös and A. Rényi, On the evolution of random graphs, Publ. Math. Inst. Hungar. Acad. Sci, vol.5, pp.17-61, 1960.

C. Giatsidis, D. Thilikos, and M. Vazirgiannis, Evaluating Cooperation in Communities with the k-Core Structure, 2011 International Conference on Advances in Social Networks Analysis and Mining, pp.87-93, 2011.
DOI : 10.1109/ASONAM.2011.65

C. Giatsidis, D. M. Thilikos, and M. Vazirgiannis, D-cores: Measuring Collaboration of Directed Graphs Based on Degeneracy, 2011 IEEE 11th International Conference on Data Mining, pp.201-210, 2011.
DOI : 10.1109/ICDM.2011.46

URL : https://hal.archives-ouvertes.fr/lirmm-00846768

M. T. Goodrich and P. Pszona, External-Memory Network Analysis Algorithms for Naturally Sparse Graphs, p.6336, 2011.
DOI : 10.1007/978-3-642-23719-5_56

D. E. Knuth, The Stanford GraphBase: a platform for combinatorial computing, 1993.

D. R. Lick and A. T. White, $k$-degenerate graphs, Journal canadien de math??matiques, vol.22, issue.0, pp.1082-1096, 1970.
DOI : 10.4153/CJM-1970-125-1

C. F. Mann, D. W. Matula, and E. V. Olinick, The use of sparsest cuts to reveal the hierarchical community structure of social networks, Social Networks, vol.30, issue.3, pp.223-234, 2008.
DOI : 10.1016/j.socnet.2008.03.004

A. Montresor, F. D. Pellegrini, and D. Miorandi, Distributed k-core decomposition, p.5320, 2011.

B. Pittel, J. Spencer, and N. Wormald, Sudden Emergence of a Giantk-Core in a Random Graph, Journal of Combinatorial Theory, Series B, vol.67, issue.1, pp.111-151, 1996.
DOI : 10.1006/jctb.1996.0036

C. Rozenblat, G. Melançon, and P. Y. Koenig, Continental integration in multilevel approach of world air transportation, Networks and Spatial Economics, 2000.

S. E. Schaeffer, Graph clustering, Computer Science Review, vol.1, issue.1, pp.27-64, 2007.
DOI : 10.1016/j.cosrev.2007.05.001

S. Seidman, Network structure and minimum degree, Social Networks, vol.5, issue.3, pp.269-287, 1983.
DOI : 10.1016/0378-8733(83)90028-X

C. E. Shannon, A mathematical theory of communication, ACM SIGMOBILE Mobile Computing and Communications Review, vol.5, issue.1, pp.3-55, 2001.
DOI : 10.1145/584091.584093

G. Szekeres and H. S. Wilf, An inequality for the chromatic number of a graph, Journal of Combinatorial Theory, vol.4, issue.1, pp.1-3, 1968.
DOI : 10.1016/S0021-9800(68)80081-X