The topics of the network range from Combinatorics to Number Theory. These are classical parts of mathematics that are still modern and active fields of research. In particular, during the last decades the development of computer science has opened up new fields of applications (for example in Cryptography) and several new theoretical questions (like complexity problems for algorithms) have come up and have influenced the field of research. In parallel classical methods of combinatorics and number theory are more and more complemented by probabilistic and analytic tools and by tools from dynamical systems in order to quantify various objects of combinatorial and number theoretic nature.