Markus Bläser
Address: | Universität des Saarlandes Informatik Postfach 151150 66041 Saarbrücken Germany |
Office: | Building E1 3, Room 412 |
Phone: | +49 681 302-5501 |
Fax: | +49 681 302-5576 |
Email: | "mblaeser" at "cs.uni-saarland.de" |
Consultation hours: Whenever my office door is open.
Or make an appointment by email.
Older Publications
Publications from 2006 or later are on the group's web page.
Refereed Conferences
[C1] | Markus Bläser:
"Bivariate polynomial multiplication". Proc. 39th Ann. IEEE Symp. on Foundations of Comput. Sci. (FOCS), 186-191, 1998. Journal version: [J5] |
[C2] | Markus Bläser:
"A 2.5 n^{2}-lower bound for
the rank of n x n-matrix multiplication over arbitrary
fields". Proc. 40th Ann. IEEE Symp. on Foundations of Comput. Sci. (FOCS), 45-50, 1999. Results are generalized in [J2] |
[C3] | Markus Bläser:
"A 2.5 n^{2}-lower bound for
the multiplicative complexity of n x n-matrix
multiplication". Proc. 18th Int. Symp. on Theoret. Aspects of Comput. Sci. (STACS), Lectures Notes in Comput. Sci. 2010, 99-110, 2001. Journal version: [J9] |
[C4] | Markus Bläser:
"Improvements of the Alder-Strassen
bound: algebras with nonzero radical". Proc. 28th Int. Coll. on Automata, Languages, and Programming (ICALP), Lecture Notes in Comput. Sci. 2076, 79-91, 2001. Journal version: [J9] |
[C5] | Markus Bläser:
"Complete problems for Valiant's
class of qp-computable families of polynomials". Proc. 7th Ann. Int. Computing and Combinatorics Conf. (COCOON), Lecture Notes in Comput. Sci. 2108, 1-10, 2001. |
[C6] | Markus Bläser:
"Computing reciprocals of bivariate
power series". Proc. 26th Int. Symp. on Mathematical Foundations of Comput. Sci. (MFCS), Lecture Notes in Comput. Sci. 2136, 186-197, 2001. Journal version: [J5] |
[C7] | Markus Bläser, Bodo Siebert:
"Computing cycle covers
without short cycles". Proc. 9th Ann. European Symp. on Algorithms (ESA), Lecture Notes in Comput. Sci. 2161, 369-379, 2001. |
[C8] | Markus Bläser:
"An 8/13-approximation algorithm for
the asymmetric maximum TSP". Proc. 13th Ann. ACM-SIAM Symp. on Discrete Algorithms (SODA), 64-73, 2002. Journal version: [J8] |
[C9] | Markus Bläser: "Algebras of
minimal rank over perfect fields". Proc. 17th Ann. IEEE Computational Complexity Conference (CCC), 113-122, 2002. |
[C10] | Markus Bläser, Andreas Jakoby, Maciej Liskiewicz, Bodo Siebert:
"Private Computation -
k-connected versus 1-connected Networks". Proc. 22nd Ann. Int. Cryptology Conf. (CRYPTO), Lecture Notes in Comput. Sci. 2442, 194-209, 2002. A more recent version is available as ECCC-Report TR03-009 Revision 1. |
[C11] | Markus Bläser, Bodo Manthey:
"Two approximation algorithms
for 3-cycle covers". Proc. 5th Int. Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX), Lecture Notes in Comput. Sci. 2462, 40-50, 2002. |
[C12] | Markus Bläser, Bodo Manthey:
"Improved approximation algorithms
for Max-2SAT with cardinality constraint". Proc. 13th Ann. Int. Symposium on Algorithms and Computation (ISAAC), Lecture Notes in Comput. Sci. 2518, 187-198, 2002. |
[C13] | Markus Bläser: "A new
approximation algorithm
for the asymmetric TSP with triangle inequality". Proc. 14th Ann. ACM-SIAM Symp. on Discrete Algorithms (SODA), 639-647, 2003. The proceedings version contains an error which is corrected in [R6]. |
[C14] | Markus Bläser: "Algebras
of minimal rank over arbitrary fields". Proc. 19th Int. Symp. on Theoret. Aspects of Comput. Sci. (STACS), Lectures Notes in Comput. Sci. 2607, 403-414, 2003. |
[C15] | Markus Bläser, Bodo Manthey: "
Budget balanced mechanisms for the multicast pricing problem
with rates" Proc. 4th ACM Conf. on Electronic Commerce, 194-195, 2003. See [R7] for a full version. |
[C16] | Markus Bläser: "An
improved approximation algorithm for the
asymmetric TSP with strengthened triangle inequality". Proc. 30th Int. Coll. on Automata, Languages, and Programming (ICALP), Lecture Notes in Comput. Sci. 2719, 157-163, 2003. |
[C17] | Markus Bläser: "Approximate
budget balanced mechanisms with low communication costs
for the multicast cost-sharing problem". Proc. 15th Ann. ACM-SIAM Symp. on Discrete Algorithms (SODA), 618-619, 2004. |
[C18] | Markus Bläser: "A 3/4
approximation algorithm for maximum asymmetric TSP with weights
zero and one". Proc. 7th Int. Workshop on Approximation Algorithms for Combinatorial Optimization Problems (APPROX), Lecture Notes in Comput. Sci. 3122, 61-71, 2004. |
[C19] | Markus Bläser, L. Shankar Ram, Maxim Sviridenko:
"Improved approximation algorithms for metric maximum
ATSP and maximum 3-cycle cover problems.". Proc. 9th Workshop on Algorithms and Data Structures (WADS), Lecture Notes in Comput. Sci. 3122, 350-359, 2005. |
[C20] | Markus Bläser, L. Shankar Ram:
"An improved approximation algorithm for TSP
with distances one and two.". Proc. 15th Int. Symp. on Fundamentals of Computation Theory (FCT), Lecture Notes in Comput. Sci. 3623, 504-515, 2005. |
Journals
[J1] | Markus Bläser:
"Lower bounds for the multiplicative complexity
of matrix multiplication". Comput. Complexity, 8:203-226, 1999. |
[J2] | Markus Bläser:
"Lower bounds for the bilinear complexity
of associative algebras". Comput. Complexity, 9:73-112, 2000. |
[J3] | Markus Bläser, Peter Kirrinnis, Daniel Lauer:
"On the
multiplicative complexity of the inversion and division of
Hamiltonian quaternions". Found. Comput. Math., 2:191-199, 2002. |
[J4] | Markus Bläser: "Uniform computational complexity of the
derivatives of C^{oo}-functions". Theoret. Comput. Sci., 284(2):199-205, 2002. |
[J5] | Markus Bläser: "The complexity of bivariate
power series arithmetic". Theoret. Comput. Sci., 295(1-3): 65-83, 2003. |
[J6] | Markus Bläser: "On the complexity of the
multiplication of matrices of small formats". J. Complexity, 19:43-60, 2003. |
[J7] | Markus Bläser: "Computing small partial coverings". Inform. Proc. Letters, 85(6):327-331, 2003. |
[J8] | Markus Bläser: "An 8/13-approximation algorithm
for the maximum asymmetric TSP". J. Algorithms, 50:23-48, 2004. |
[J9] | Markus Bläser: "A complete characterization of the
algebras of minimal bilinear complexity". SIAM J. Comput., 34(2):277-298, 2004. |
[J10] | Markus Bläser: "Beyond the Alder Strassen bound.". Theoret. Comput. Sci., 331(1):3-21, 2005. |
[J11] | Markus Bläser, Bodo Manthey:
"Approximating maximum weight cycle covers in directed
graphs with weights zero and one". Algorithmica, 42(2):121-139, 2005. |
[J12] | Markus Bläser:
"On the number of multiplications needed to invert a monic
power series over fields of characteristic two". J. Complexity 21(4):413-419 |
Theses
[T1] | Markus Bläser: "Untere
Schranken für den Rang assoziativer Algebren". Dissertation, Universität Bonn, 1999. (in German) [J2, J6] cover most of the material. |
[T2] | Markus Bläser:
"Approximationsalgorithmen
für Graphüberdeckungsprobleme". Habilitationsschrift, Universität zu Lübeck, 2002. (in German) [C7, C8, C11, C13, C16, J7 ] cover most of the material. |
Research Reports
[R1] | Markus Bläser: "On the number of multiplications needed to
invert a monic power series over fields of characteristic two". Research Report, Institut für Informatik II, Universität Bonn, January 2000. |
[R2] | Markus Bläser: "Searching for matrix multiplication
algorithms by numerical minimization". Research Report, Institut für Informatik II, Universität Bonn, January 2000. |
[R3] | Markus Bläser: "Algebras
of minimal rank over perfect fields". Technical Report SIIM-TR-A-01-13, Institute für Informatik und Mathematik, Universtität Lübeck, August 2001. |
[R4] | Markus Bläser: "An
8/13-approximation algorithm for the asymmetric maximum
TSP". Technical Report SIIM-TR-A-01-21, Institute für Informatik und Mathematik, Universtität Lübeck, December 2001. |
[R5] | Markus Bläser: "Algebras
of minimal rank over arbitrary fields". Technical Report SIIM-TR-A-02-09, Institute für Informatik und Mathematik, Universtität Lübeck, May 2002. |
[R6] | Markus Bläser: "A
new approximation algorithm
for the asymmetric TSP with triangle inequality". Technical Report SIIM-TR-A-02-20, Institute für Informatik und Mathematik, Universtität Lübeck, September 2002, revised December 2002. |
[R7] | Markus Bläser: "Budget
Balanced Mechanisms for the Multicast Pricing Problem
with Rates". Technical Report SIIM-TR-A-03-02, Institute für Informatik und Mathematik, Universtität Lübeck, February 2003, revised June 2003. |
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