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SIAMCOMP
2011
12 years 10 months ago
An Expansion Tester for Bounded Degree Graphs
We consider the problem of testing graph expansion (either vertex or edge) in the bounded degree model [10]. We give a property tester that given a graph with degree bound d, an ex...
Satyen Kale, C. Seshadhri
FOCS
2009
IEEE
14 years 2 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
ECCC
2008
93views more  ECCC 2008»
13 years 7 months ago
A Note on the Distance to Monotonicity of Boolean Functions
Given a function f : {0, 1}n {0, 1}, let M (f) denote the smallest distance between f and a monotone function on {0, 1}n . Let M (f) denote the fraction of hypercube edges where f...
Arnab Bhattacharyya
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
14 years 7 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
FOCS
2009
IEEE
14 years 2 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi