Università Roma Tre

NETWORKS AND GRAPHS
- Graphs, trees and networks
- Centrality measures, degrees and adjacent matrices
- Grafi Random, model of Erdős and Rényi

SMALL WORLDS (SMALL WORLDS)
- Definition of Little World
- "Clustering" coefficient
- Watts-Strogatz model

GENERALIZED RANDOM GRAPHS
- Statistical characterization of networks
- Distribution of the degree of networks of the real world (Real World)
- Generalization of the Erdős – Rényi model
- Random graphs with power law degree distributions

GROWING GRAPHS
- Dynamic evolution of random graphs
- Barabási – Albert model

CORRELATION BETWEEN DEGREES OF THE KNOTS
- Correlations in a "Real World" network
- Assortativity and de-assortment, "Rich Club" behavior

REASONS AND COMMUNITIES IN NETWORKS
- Cycles in scale-free networks
- Definition and research of communities in networks

"WEIGHED" NETS
- Beyond purely topological networks: intensity of interactions in a system
complex
- Properties of the weighed nets

INTRODUCTION TO DYNAMIC PROCESSES: THEORY AND SIMULATION

Testi adottati:
main test:
V. Latora, V. Nicosia, G. Russo,
"Complex Networks: Principles, Methods and Applications"
C.E. Cambridge University press (2017)

TEXT USED FOR SMALL PARTS OF THE PROGRAM
"A. Barrat, M. Barthelemy, A. Vespignani
"Dynamical processes on complex networks"
Cambridge University Press (2008)