Our research is directed to understanding the structure and functioning of complex systems at various size scales. Our philosophy is that it is more important to understand the organizational principles of such systems on the basis of their connectivity than to understand the role of their individual components. Then, we consider an integration of complex systems through the use of a common representation by means of graphs.

Professor Ernesto Estrada
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Research Highlights

Mathematics of Networks, Hyper-Networks and Multiplex Networks

Our interest is in developing new mathematical concepts that permit us to understand the organization and function of complex systems.

Applications of Networks to Real-World Problems

We are interested in the applications of network theory to solve problems in a variety of real-world scenarios including biomolecular networks, infrastructural networks, ecological systems, and more.

Mathematical Chemistry

We are currently interested in the generation of algebraic invariants to represent molecular structures, the generalization of graph theoretic invariants, the study of spectral properties of molecular graphs and more.

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