Le3 - Thu Oct 8, 2026 Layered networs; Paths, cycles, diameter, and small world networks; Connectedness and the condensation grapg; Degree centrality; Power law versus Poisson distribution; Estimation methods for the degree exponent: ML approach; Explaining the power law; Erdos-Renyi random model: binomial and Poisson descriptions of the model; Small world; Power law versus Poisson distribution; Growth and preferential attachment; the Barabasi-Albert model.
Le4 - Fri Oct 9, 2026 Mathematics of the Barabasi-Albert model; Attractiveness and the Bianconi-Barabasi model; Analysis of the Bianconi-Barabasi model; Examples with equal and uniform fitness; Measuring fitness: the www; Other ideas for modelling the power-law.