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CPC
2007
105views more  CPC 2007»
15 years 6 months ago
Packing Cliques in Graphs with Independence Number 2
Let G be a graph with no three independent vertices. How many edges of G can be packed with edge-disjoint copies of Kk? More specifically, let fk(n, m) be the largest integer t s...
Raphael Yuster
SODA
2010
ACM
213views Algorithms» more  SODA 2010»
16 years 4 months ago
Regular Expression Matching with Multi-Strings
Regular expression matching is a key task (and often computational bottleneck) in a variety of software tools and applications. For instance, the standard grep and sed utilities, ...
Philip Bille, Mikkel Thorup
COCO
2009
Springer
106views Algorithms» more  COCO 2009»
16 years 1 months ago
Improved Approximation of Linear Threshold Functions
We prove two main results on how arbitrary linear threshold functions f(x) = sign(w · x − θ) over the n-dimensional Boolean hypercube can be approximated by simple threshold f...
Ilias Diakonikolas, Rocco A. Servedio
FOCS
2007
IEEE
15 years 10 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
SIROCCO
2007
15 years 8 months ago
Fast Periodic Graph Exploration with Constant Memory
We consider the problem of periodic exploration of all nodes in undirected graphs by using a nite state automaton called later a robot. The robot, using a constant number of state...
Leszek Gasieniec, Ralf Klasing, Russell A. Martin,...