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» Positive Versions of Polynomial Time
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STOC
2009
ACM
156views Algorithms» more  STOC 2009»
15 years 10 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
STOC
2006
ACM
83views Algorithms» more  STOC 2006»
15 years 10 months ago
A randomized polynomial-time simplex algorithm for linear programming
We present the first randomized polynomial-time simplex algorithm for linear programming. Like the other known polynomial-time algorithms for linear programming, its running time ...
Jonathan A. Kelner, Daniel A. Spielman
SODA
2012
ACM
218views Algorithms» more  SODA 2012»
13 years 8 days ago
Linear kernels for (connected) dominating set on H-minor-free graphs
We give the first linear kernels for DOMINATING SET and CONNECTED DOMINATING SET problems on graphs excluding a fixed graph H as a minor. In other words, we give polynomial time...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, ...
ISAAC
2004
Springer
115views Algorithms» more  ISAAC 2004»
15 years 3 months ago
Multicriteria Global Minimum Cuts
We consider two multicriteria versions of the global minimum cut problem in undirected graphs. In the k-criteria setting, each edge of the input graph has k non-negative costs ass...
Amitai Armon, Uri Zwick
TC
2008
14 years 9 months ago
Low-Complexity Bit-Parallel Square Root Computation over GF(2^{m}) for All Trinomials
In this contribution we introduce a low-complexity bit-parallel algorithm for computing square roots over binary extension fields. Our proposed method can be applied for any type ...
Francisco Rodríguez-Henríquez, Guill...