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» Regularity Lemmas and Combinatorial Algorithms
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JCT
1998
193views more  JCT 1998»
13 years 5 months ago
Fractional Kernels in Digraphs
The aim of this note is to point out some combinatorial applications of a lemma of Scarf, proved first in the context of game theory. The usefulness of the lemma in combinatorics...
Ron Aharoni, Ron Holzman
STOC
2009
ACM
152views Algorithms» more  STOC 2009»
14 years 1 months ago
Green's conjecture and testing linear-invariant properties
A system of linear equations in p unknowns Mx = b is said to have the removal property if every set S ⊆ {1, . . . , n} which contains o(np− ) solutions of Mx = b can be turned...
Asaf Shapira
FOCS
2009
IEEE
14 years 1 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
14 years 6 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira
JALC
2008
72views more  JALC 2008»
13 years 6 months ago
Maximal Error-Detecting Capabilities of Formal Languages
A combinatorial channel is a set of pairs of words describing all the possible input-output channel situations. We introduce the concept "maximal error-detecting capability&q...
Stavros Konstantinidis, Pedro V. Silva