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

    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.

  • Transference for the Erdős-Ko-Rado theorem

    JBBBB. BollobasBN Forum of Mathematics, Sigma

    Erdős-Ko-Rado theorem analogue

    A random analogue of the Erdős-Ko-Rado theorem sheds light on its stability in an area of parameter space which has not yet been explored.

  • Random graph ensembles with many short loops

    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

    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.

  • Entropy

    The temperature of networks

    A new concept, graph temperature, enables the prediction of distinct topological properties of real-world networks simultaneously.

  • Journal of Statistical Physics

    Bootstrapping topology and risk

    Information about 10% of the links in a complex network is sufficient to reconstruct its main features and resilience with the fitness model.

  • Physical Review E

    Weighted network evolution

    A statistical procedure identifies dominant edges within weighted networks to determine whether a network has reached its steady state.

  • Interface Focus

    What you see is not what you get

    Methods from tailored random graph theory reveal the relation between true biological networks and the often-biased samples taken from them.