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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  • Exactly solvable random graph ensemble with extensively many short cycles

    Graph theory

    FLPBP. BaruccaMFACA. Coolen Journal of Physics A

    Exactly solvable random graphs

    An explicit analytical solution reproduces the main features of random graph ensembles with many short cycles under strict degree constraints.

  • Spin systems on hypercubic Bethe lattices: a Bethe–Peierls approach

    Statistical physics

    AMA. MozeikaACA. Coolen Journal of Physics A

    Spin systems on Bethe lattices

    Exact equations for the thermodynamic quantities of lattices made of d-dimensional hypercubes are obtainable with the Bethe-Peierls approach.

  • Random graph ensembles with many short loops

    Graph theory

    ERACA. Coolen ESAIM: Proceedings and surveys

    Random graphs with short loops

    The analysis of real networks which contain many short loops requires novel methods, because they break the assumptions of tree-like models.

  • Entropies of tailored random graph ensembles: bipartite graphs, generalized degrees, and node neighbourhoods

    Graph theory

    ERACA. Coolen Journal of Physics A

    Entropies of graph ensembles

    Explicit formulae for the Shannon entropies of random graph ensembles provide measures to compare and reproduce their topological features.

  • Graph theory

    Physical Review E

    Unbiased randomization

    Unbiased randomisation processes generate sophisticated synthetic networks for modelling and testing the properties of real-world networks.

  • Graph theory

    Journal of Physics A

    Tailored random graph ensembles

    New mathematical tools quantify the topological structure of large directed networks which describe how genes interact within a cell.