

1970  M.A. in mathematics, Poznan University  1971  M.E.E. in computer science, TU Poznan  1973  PhD in computer science and mathematics, Polish Academy of Sciences Warsaw  1976  Habilitation in computer science and mathematics, Polish Academy of Sciences Warsaw  1989  C4 professor, Bonn University   Has been doing research and teaching at various universities and research institutes among others in Warsaw, Pittsburgh, Berekeley, Princeton, MIT, Yale, Oxford, Cambridge, Lund and Paris. 


Main research interests are in computational complexity and design of efficient algorithms, especially randomized and approximate algorithms. Further topics in recent research include: Combinatorial and Geometric Optimization, VC Dimension and OMinimality, Parallel and Distributed Systems, Internet Algorithms, Algorithmic Game Theory, Computational Molecular Biology.


Principal Investigator in the following international projects:
– ESPRIT BR Working Group – 7097 and 21726 on “Randomized Algorithms, RAND and RAND2”, (Bonn, Edinburgh, Leeds, Lund, Oxford, Paris, Weizmann Institute, Rehovot), (19921995) and (19961999);
– VolkswagenStiftung Project (I/68055) on “Computational Complexity and Efficient Algorithms”, (1993–1998);
– NSF/ESPRIT BR Project ECUS 030 on “Randomness and Efficient Computation, RANDREC” (with M. Luby, Berkeley). Research Sites: Bonn, Berkeley, Edinburgh, Leeds, Lund, Oxford, and Paris, (19931997);
– IST BR Project 14036 (RANDAPX) on “Randomness and Approximate Computation”, (Bonn, Edinburgh, Leeds, Lund, Oxford, and Paris), (19982004);
– Project PROCOPE 333587 on “Design and Analysis of Randomized Approximation Algorithms for NPHard Optimization Problems”, (Bonn, Paris), (20042007);
– FP6 Marie Curie Research Training Network in Model Theory (512234), MODNET, (2004);
– BIT Research School, University of Bonn and RWTH Aachen, PI of the Research Area “Algorithm Design and Formal Foundations”, (2008);
– Chair, Steering Committee on International Series of Conferences “Foundamental of Computation Theory” (FCT), (1999);


Research Area G My research in the RA G evolved around the following main topics:
Rapidly mixing Markov chains and path coupling with stopping times and general MCMC method.
Mixing Time of Glauber Dynamics for sampling colorings.
Efficient sampling methods for approximating selected NPhard problems.
Several new results were obtained on the above topics, among other things, solving hitherto long time open problems in counting independent sets in hypergraphs and tree colorings.  Research Area I (until 10/2012) My research area was focused on general tractability issues of algorithmic game theory and related issues, especially games on networks, rank aggregation, and feedback arc set tournament problems. On the above topics, among other things, we were able to construct the first efficient approximation scheme of the fragile minimization problems including certain constraint forms of rigidity, and correlation clustering problem. More recent results involve design of the best up to now exact algorithms for Feedback Arc Set Tournament, (FAST), Kemeny Rank Aggregation and the Betweenness Tournament problems.  Former Research Area K The research within that topic was concerned with selected problems of combinatorial optimization, especially the problems of network design and facility location, multicast Steiner Tree problems, general clustering and partitioning problems (related paper: [1]) as well as on the methods for approximating nonlinear Smooth Integer Polynomial Programs (SIPPs) and related optimization problems ([2]). One of the main trusts of our investigations was devoted to the problems of approximation tractability of TSP and Generalized Steiner Tree (GST) problems and getting better approximation ratios for those problems.
My research is planned to be continued on the above topics in the new RA KL.  Former Research Area L The research within that topic was focused on fundamental problems of computational complexity of exact and approximate computation, the underlying nature of computational feasibility and intractability, and design of efficient approximation algorithms (see related papers: [3], [4], [5]). We focused also on new mathematical paradigms for designing efficient sublinear time approximation algorithms for CSP problems, and also some aspects of algorithmic game theory ([6]). We studied Markov Chain Monte Carlo (MCMC) based algorithms for various counting problems. We studied also the deterministic computation complexity of the well known problem of factoring polynomial over finite field and its intimate connection to the Generalized Riemann Hypothesis (GRH).
This research will be continued on the aforementioned topics in the new RA KL.  Research Area KL



[ 1] Marek Karpinski, Alexander Zelikovsky
New approximation algorithms for the Steiner tree problems J. Comb. Optim. , 1: (1): 4765 1997 ISSN: 13826905 DOI: 10.1023/A:1009758919736[ 2] Sanjeev Arora, David Karger, Marek Karpinski
Polynomial time approximation schemes for dense instances of NPhard problems J. Comput. System Sci. , 58: (1): 193210 1999 ISSN: 00220000 DOI: 10.1006/jcss.1998.1605[ 3] Noga Alon, W. Fernandez de la Vega, Ravi Kannan, Marek Karpinski
Random sampling and approximation of MAXCSPs Special issue on STOC2002 (Montreal, QC) J. Comput. System Sci. , 67: (2): 212243 2003 ISSN: 00220000 DOI: 10.1016/S00220000(03)000084[ 4] Lars Engebretsen, Marek Karpinski
TSP with bounded metrics J. Comput. System Sci. , 72: (4): 509546 2006 ISSN: 00220000 DOI: 10.1016/j.jcss.2005.12.001[ 5] M. Karpinski
Polynomial time approximation schemes for some dense instances of NPhard optimization problems Approximation algorithms for combinatorial optimization problems Algorithmica , 30: (3): 386397 2001 ISSN: 01784617[ 6] M. Karpinski, W. Schudy
Linear Time Approximation Schemes for the GaleBerlekamp Game and Related Minimization Problems Proceedings of the 41st ACM Symposium on Theory of Computing (STOC) 2009[ 7] G. Ivanyos, M. Karpinski, N. Saxena
Deterministic polynomial time algorithms for matrix completion problems SIAM Journal on Computing , 39: : 37363751 2010[ 8] Marek Karpinski, Angus Macintyre
Polynomial bounds for VC dimension of sigmoidal and general Pfaffian neural networks 1st Annual Dagstuhl Seminar on Neural Computing (1994) J. Comput. System Sci. , 54: (1, part 2): 169176 1997 ISSN: 00220000 DOI: 10.1006/jcss.1997.1477[ 9] Leslie Ann Goldberg, Mark Jerrum, Marek Karpinski
The mixing time of Glauber dynamics for coloring regular trees Random Structures Algorithms , 36: (4): 464476 2010 ISSN: 10429832[ 10] P. Berman, M. Karpinski, A. Zelikovsky
A 3/2approximation algorithm for generalized Steiner tree problems in graphs with edge length 1 and 2 Proceedings of the 21st International Symposium on Algorithms and Computation (ISAAC), LNCS 6506 2010



Journal of Combinatorial Optimization, (1995); Fundamenta Informaticae, (19942010); Electronic Colloquium on Computational Complexity, (1983); Compendium of NP Optimization Problems, (1999)


1974  Prize of the Polish Mathematical Society  1975  Venia Legendi Annual Research Prize  1976  Award of the Polish Academy of Sciences  1980  Special IBM T.J. Watson Research Grant  1982  Humboldt Research Award  1988  Senior Visiting Research Fellow, Merton College, Oxford University  1995  MaxPlanckForschungspreis  2004  IHES European Fellowship  2013  Member of the Academia Europaea 


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