Program of Scientific Activity of the Catania Combinatorial Group

The Catania Research Group develops scientific researches mainly in Graph and Hypergraph Theory and Design Theory. These theories are of great interest not only for their contribution to Discrete Mathematics but also for their applications in Coding Theory, Statistics and Computer Science. The CRG participated in the international Panorama, not only for the developed researches (see the references), but also for the exciting and fruitful collaboration with many of the principal researchers in Combinatorics. Just to name some of them (in alphabetic order): Elizabeth Billington, Charles Colbourn, Stanley Fiorini, Frank Harary, Josef Lauri, Curt Lindner, Eric Mendelsohn, Chris Rodger, Alex Rosa, Hao Shen, Anne Penfold Street, Zsolt Tuza, Vitaly Voloshin, J. Voss. In the future Research Program, the CRG wishes to work on the following topics (presented in alphabetic order) which are mostly a continuation and a thorough analysis of the researches developed in these last years. Notice that these topics are not disconnected but it often happens that they overlap.