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JCO
1998
80views more  JCO 1998»
13 years 9 months ago
Improved Bounds on Relaxations of a Parallel Machine Scheduling Problem
We consider the problem of scheduling n jobs with release dates on m identical parallel machines to minimize the average completion time of the jobs. We prove that the ratio of the...
Cynthia A. Phillips, Andreas S. Schulz, David B. S...
SAT
2007
Springer
118views Hardware» more  SAT 2007»
14 years 3 months ago
Improved Lower Bounds for Tree-Like Resolution over Linear Inequalities
Abstract. We continue a study initiated by Kraj´ıˇcek of a Resolutionlike proof system working with clauses of linear inequalities, R(CP). For all proof systems of this kind Kra...
Arist Kojevnikov
LICS
2009
IEEE
14 years 4 months ago
An Exponential Lower Bound for the Parity Game Strategy Improvement Algorithm as We Know it
This paper presents a new lower bound for the discrete strategy improvement algorithm for solving parity games due to V¨oge and Jurdzi´nski. First, we informally show which stru...
Oliver Friedmann
TIT
2008
130views more  TIT 2008»
13 years 9 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager
COMPGEOM
2009
ACM
14 years 4 months ago
An improved bound on the number of unit area triangles
We show that the number of unit-area triangles determined by a set of n points in the plane is O(n9/4+ε), for any ε > 0, improving the recent bound O(n44/19) of Dumitrescu et...
Roel Apfelbaum, Micha Sharir