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REPORTS > KEYWORD > TESTING GRAPH PROPERTIES:
Reports tagged with Testing Graph Properties:
TR96-057 | 18th November 1996
Oded Goldreich, Dana Ron

#### Property Testing and its connection to Learning and Approximation

In this paper, we consider the question of determining whether
a function $f$ has property $P$ or is $\e$-far from any
function with property $P$.
The property testing algorithm is given a sample of the value
of $f$ on instances drawn according to some distribution.
In some cases,
more >>>

TR18-098 | 17th May 2018
Oded Goldreich

#### Hierarchy Theorems for Testing Properties in Size-Oblivious Query Complexity

Revisions: 1

Focusing on property testing tasks that have query complexity that is independent of the size of the tested object (i.e., depends on the proximity parameter only), we prove the existence of a rich hierarchy of the corresponding complexity classes.
That is, for essentially any function $q:(0,1]\to\N$, we prove the existence ... more >>>

TR18-104 | 29th May 2018
Oded Goldreich

#### Flexible models for testing graph properties

Revisions: 1

The standard models of testing graph properties postulate that the vertex-set consists of $\{1,2,...,n\}$, where $n$ is a natural number that is given explicitly to the tester.
Here we suggest more flexible models by postulating that the tester is given access to samples the arbitrary vertex-set; that is, the vertex-set ... more >>>

TR20-118 | 5th August 2020
Oded Goldreich

#### On Testing Asymmetry in the Bounded Degree Graph Model

Revisions: 4

We consider the problem of testing asymmetry in the bounded-degree graph model, where a graph is called asymmetric if the identity permutation is its only automorphism. Seeking to determine the query complexity of this testing problem, we provide partial results. Considering the special case of $n$-vertex graphs with connected components ... more >>>

TR20-149 | 29th September 2020
Oded Goldreich, Avi Wigderson

#### Robustly Self-Ordered Graphs: Constructions and Applications to Property Testing

Revisions: 2

A graph $G$ is called {\em self-ordered}\/ (a.k.a asymmetric) if the identity permutation is its only automorphism.
Equivalently, there is a unique isomorphism from $G$ to any graph that is isomorphic to $G$.
We say that $G=(V,E)$ is {\em robustly self-ordered}\/ if the size of the symmetric difference ... more >>>

TR20-160 | 2nd November 2020
Oded Goldreich, Avi Wigderson

#### Non-adaptive vs Adaptive Queries in the Dense Graph Testing Model

Revisions: 3

We study the relation between the query complexity of adaptive and non-adaptive testers in the dense graph model.
It has been known for a couple of decades that the query complexity of non-adaptive testers is at most quadratic in the query complexity of adaptive testers.
We show that ... more >>>

TR21-088 | 23rd June 2021
Oded Goldreich

#### Open Problems in Property Testing of Graphs

Revisions: 1

We briefly discuss a few open problems in the study of various models of testing graph properties, focusing on the query complexity of the various tasks. In the dense graph model, we discuss several open problems, including:

* Determining the complexity of testing triangle-freeness.
* Characterizing the class of properties ... more >>>

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