This project aims to foster the fruitful collaboration between German, French and Brazilian professors inserted in the Fluminense, French and German institutions involved in the project. This solid partnership of approximately two decades can be proven through a significant number of well-qualified publications by Qualis-CAPES among team members, as well as international cooperation projects funded by CAPES (CSF-PVE, CAPES-DAAD), participation in jury (qualification exams, doctorate and master’s degree), participation in the already traditional series of Combinatory Seminars of IME, and disciplines taught together. In addition, this collaboration has given Brazilian students the contact with new teaching techniques and the development of research resulting from master’s dissertations and doctoral thesis oriented in partnership by professors from these countries.
In this project, we aim to develop computational methods for comparative genomics, where we approach an arid field of computational genomics – the simultaneous analysis of multiple large-scale datasets in a comparative scenario. From this relevant field of science emerges a number of new and hard questions to be computationally solved in which involves modeling, algorithms and interpretive analysis. In addition, we intend to study theoretical models of network control, through aspects in graphs such as: domination and total domination, which are invariants defined from a subset of nodes of a network satisfying particular properties; and the coloring of graphs that is closely related to the number of distinct frequencies to be used in antennas of a network.
Finally, we also aim to broaden our collaboration network with the establishment of new partnerships that can, in addition to developing research on issues related to the project, develop innovative teaching techniques and popularization of Mathematics.
The project resources will be used to attract outside researchers, teachers and talented students who can continue to collaborate with Brazilian students and researchers through research missions and scholarships. The expected impact of the project lies in the training of human resources, the advance of research on the themes involved in the project and the consequent production of scientific articles published in journals in the main stratum of CAPES.