Our papers are the official record of our discoveries. They allow others to build on and apply our work. Each paper is the result of many months of research, so we make a special effort to make them clear, beautiful and inspirational, and publish them in leading journals.

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  • Spectral partitioning in equitable graphs

    PBP. Barucca Physical Review E

    Spectral partitioning

    The spectral density of graph ensembles provides an exact solution to the graph partitioning problem and helps detect community structure.

  • PBP. BaruccaFLPMDT Journal of Statistical Mechanics

    Disentangling links in networks

    Inference from single snapshots of temporal networks can misleadingly group communities if the links between snapshots are correlated.

  • Bounds on transient instability for complex ecosystems

    FCF. CaravelliPS PLOS ONE

    Instability in complex ecosystems

    The community matrix of a complex ecosystem captures the population dynamics of interacting species and transitions to unstable abundances.

  • Hierarchical mutual information for the comparison of hierarchical community structures in complex networks.

    JPCTGCG. Caldarelli Physical Review E

    Communities in networks

    A new tool derived from information theory quantitatively identifies trees, hierarchies and community structures within complex networks.