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STOC
2006
ACM
168views Algorithms» more  STOC 2006»
14 years 4 months ago
A combinatorial characterization of the testable graph properties: it's all about regularity
A common thread in all the recent results concerning the testing of dense graphs is the use of Szemer?edi's regularity lemma. In this paper we show that in some sense this is...
Noga Alon, Eldar Fischer, Ilan Newman, Asaf Shapir...
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
SODA
2010
ACM
179views Algorithms» more  SODA 2010»
14 years 1 months ago
Property Testing and Parameter Testing for Permutations
There has been great interest in deciding whether a combinatorial structure satisfies some property, or in estimating the value of some numerical function associated with this com...
Carlos Hoppen, Yoshiharu Kohayakawa, Carlos G. T. ...
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
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 4 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol