Main research fields

  • Combinatorial Optimization
    • optimization on graphs
      • matchings, path matchings
      • stable matching
      • graph packing problems
      • decomposition theorems
      • orientations
      • connectivity augmentation
    • matroid theory, submodular functions
      • matroid parity
    • rigidity theory
    • NP-complete problems
  • New type methods of mathematical programming
    • interior point algorithms;
    • regularization;
    • fuzzy optimization;
    • soft computational techniques;
  • Stochastic programming
  • Models of operations research
    • production control of flexible manufacturing;
    • applications of chaos theory in OR.
    • convex programming models in industrial applications
  • Linear optimization
    • theory and application of LP problems
    • theory and application of linear complementary problems
    • pivot algorithms and implementation
    • interior point methods and implementation
  • Nonlinear optimization
    • specially structured problems and solution methods
    • minimax and alternative theorems
    • duality theory of the generalized convex programming
    • semidefinite programming and its applications
    • stability problems