I founded and lead the MTA-ELTE Egerváry Research Group on Combinatorial Optimization (EGRES). My research interests include combinatorial optimization, matroid theory, submodular functions, matchings, graph theory, polynomial-time algorithms, and the applications of combinatorial optimization in other areas. Please visit the open problem collection of our group, EGRES Open.
A large part of my interests is represented in my book:
A. Frank, Connections in Combinatorial Optimization, Oxford University Press, 2011 (ISBN 978-0-19-920527-1). Oxford Lecture Series in Mathematics and its Applications, 38