Complex Systems

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We study complex networks via k-core decomposition and community detection. Graph theory and propagation models applied to biological, social and technological networks.

Lines of work

k-core decomposition

Reveals hierarchies and scales to very large networks — the theoretical backbone of the LaNet-vi software.

Community detection

Local fitness-growth processes that bypass the resolution limits of global modularity.

Biological and physical systems

Mutualistic ecosystems (plant–pollinator networks) and physical systems such as granular gases.

Related projects

LaNet-vi

Large-network visualization software using k-core and k-dense decomposition.

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SnailVis

Alternative paradigm for visualising the inner structure of complex networks.

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Selected publications

  1. Study of the influence of the phylogenetic distance on the interaction network of mutualistic ecosystems
    Roberto P.J. Perazzo, Laura Hernández, Horacio Ceva, Enrique Burgos, and J. Ignacio Alvarez-Hamelin
    Physica A: Statistical Mechanics and its Applications, 2014
    Details
  2. Obtaining communities with a fitness growth process
    Mariano G. Beiró, Jorge R. Busch, Sebastian P. Grynberg, and J. Ignacio Alvarez-Hamelin
    Physica A: Statistical Mechanics and its Applications, 2013
    Details
  3. Understanding Edge Connectivity in the Internet through Core Decomposition
    J. Ignacio Alvarez-Hamelin, Mariano G. Beiró, and Jorge R. Busch
    Internet Mathematics, 2011
    Details
  4. SnailVis: a paradigm to visualize complex networks
    Mariano G. Beiró, Jorge R. Busch, and J. Ignacio Alvarez-Hamelin
    In 39 Jornadas Argentinas de Informática e Investigación Operativa-Argentine Symposium on Computing Technology (JAIIO-AST ’10), 2010
    Details
  5. The dynamical collision network in granular gases
    J. Ignacio Alvarez-Hamelin and Andrea Puglisi
    Physical Review E, 2007
    Details