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SIAMCOMP
2011
12 years 8 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 1 hour 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 4 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 5 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 1 hour 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