Research in the area of mathematical chemistry is potentially of interest to the chemical and pharmaceutical industries. New algorithms and their implementations in symbolic computation and discrete mathematics enhance the efficiency and computing power of software tools in almost all areas of sciences and technology. Design of high-performance memory modules capable of performing basic operations in constant time is of great importance for applications in electronic industry. The main results of our research program for Slovenia can be partitioned into two groups: 1. The development of the human potential. Our young researchers get to know the state-of-the-art in their respective fields. Some of them study abroad and work with the leading international authorities. All this will intensify international scientific cooperation and will help ensure a solid foundation and continued high standards of achievement in Slovenian science in the future. 2. Applications and cooperation with potential users outside of the research community. Some of our researchers continue their careers outside of academia and transfer their acquired knowledge and skills (especially the problem-solving methodologies, but also their programming skills) to their working environment, thus intensifying the bonds between academia and the rest of society. Our readiness to cooperate not only with academic and research institutions at home and abroad, but also with other organizations and companies (e.g., brokerage houses) is well known.