Section outline

    • Le3 - Mon Oct. 10, 2022 Erdos-Renyi random model: binomial and Poisson descriptions of the model; Small world; Power law versus Poisson distribution; The largest hub in scale-free networks; Meaning of scale-free; Ultra-small-world; Friendship paradox.

    • Le4 - Wed Oct. 11, 2022 Estimation methods for the degree exponent: ML approach; Watts-Strogatz model; Molloy-Reed model; Growth and preferential attachment; the Barabasi-Albert model; Attractiveness and the Bianconi-Barabasi model; Examples with equal and uniform fitness; Measuring fitness: the www; Other ideas for modelling the power-law.