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» Every monotone graph property is testable
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STOC
2005
ACM
96views Algorithms» more  STOC 2005»
14 years 4 months ago
Every monotone graph property is testable
A graph property is called monotone if it is closed under taking (not necessarily induced) subgraphs (or, equivalently, if it is closed under removal of edges and vertices). Many ...
Noga Alon, Asaf Shapira
ECCC
2008
122views more  ECCC 2008»
13 years 4 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
ECCC
2007
124views more  ECCC 2007»
13 years 4 months ago
Testing Hereditary Properties of Non-Expanding Bounded-Degree Graphs
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...
Artur Czumaj, Asaf Shapira, Christian Sohler
COCO
2007
Springer
89views Algorithms» more  COCO 2007»
13 years 10 months ago
Testing Properties of Constraint-Graphs
We study a model of graph related formulae that we call the Constraint-Graph model. A constraintgraph is a labeled multi-graph (a graph where loops and parallel edges are allowed)...
Shirley Halevy, Oded Lachish, Ilan Newman, Dekel T...
FOCS
2005
IEEE
13 years 10 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira