An Introduction to Networks
A hacking day of Mathematics for Data Science at the Department of Mathematics

Bio
After her Bachelor in Mathematics and MSc in Mathematics for Life Sciences at University of Trento, she is currently a PhD in Mathematics as part of FBK research group of Complex Multilayer Networks, where she also developed her research activity for the MSc. She is studying Network Geometry induced by complex dynamics and new statistical approaches to identify influential nodes in networked systemsPrerequisites
 Probability and linear algebra
 Basic knowledge of R Programming language
 A laptop (lecture will be interactive)
During the course we will use Jupyter Notebooks, available on github. For those of you not having Jupyter installed on the laptop, there is Binder unabling you to interact with the notebooks in a live environment!
Intended Learning Outcomes
After successful completion of the module students are familiar with the terminology and basic concepts, definitions and methods of Graph Theory and Network Analysis.
Further, students are able to create, manipulate and plot networks in Rigraph
.
Contents
 Why do we study Networks?
 Complex Systems
 Network Modeling
 Fundamentals of Graph Theory
 Definitions
 The Laplacian of a Graph
 Random Walks and Graphs
 Network Centrality
 Centrality Measures
 Network Models and Centralities
 Community Detection
 Defining Groups
 Stochastic Block Model
 Current Research at CoMuNe Lab  FBK
References
Newman, M. (2018). Networks. Oxford university press.
Other references are provided in the course material.
Schedule
 5 February 2019, 09:3012:30 @ A210, Povo 1
 6 February 2019, 09:3012:30 @ A210, Povo 1
Details
 The participation is free. Please send an email to Prof. Claudio Agostinelli.
 For further information, please contact Prof. Claudio Agostinelli
 Venue: Polo Scientifico e Tecnologico F. Ferrari – Room A210
 Language: English
Course Material
Course material is publicly available on mygithub.