This course presentation serves as an introduction to the mathematical and computational aspects of Network Science.

It will provide a broad overview of the area and then will focus on

• Mathematical aspects, including structure theorems, existence proofs,

• Computational aspects, including, provable lower as well as upper bounds on the computational resources, efficient algorithms for computing the structure

and dynamics over complex networks,

• Developing high performance computing based computational models and modeling environments for supporting Network Science.

December 02, 2010