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102
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LFCS
1997
Springer
15 years 4 months ago
The Concurrency Complexity for the Horn Fragment of Linear Logic
The provability problem for the Horn fragment of linear logic is NP-complete [4, 1]. In this work we investigate various definitions of concurrency proposed in [2] and establish t...
Sergey Dudakov
88
Voted
CCCG
2007
15 years 2 months ago
Approximation Algorithms for the Minimum-Length Corridor and Related Problems
Given a rectangular boundary partitioned into rectangles, the MLC-R problem is to find a Minimum EdgeLength Corridor that visits at least one point from the boundary of every rec...
Arturo Gonzalez-Gutierrez, Teofilo F. Gonzalez
DAGSTUHL
2007
15 years 2 months ago
Diagonal Circuit Identity Testing and Lower Bounds
In this paper we give the first deterministic polynomial time algorithm for testing whether a diagonal depth-3 circuit C(x1, . . . , xn) (i.e. C is a sum of powers of linear funct...
Nitin Saxena
95
Voted
CCCG
2006
15 years 2 months ago
An Improved Approximation Factor For The Unit Disk Covering Problem
We present a polynomial time algorithm for the unit disk covering problem with an approximation factor 72, and show that this is the best possible approximation factor based on th...
Sada Narayanappa, Petr Vojtechovský
83
Voted
DAGSTUHL
2006
15 years 2 months ago
Approximability of Minimum AND-Circuits
Given a set of monomials, the Minimum AND-Circuit problem asks for a circuit that computes these monomials using AND-gates of fan-in two and being of minimum size. We prove that t...
Jan Arpe, Bodo Manthey