## Flexible models for testing graph properties

#### Webpage for a paper by Oded Goldreich

#### Abstract

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 is arbitrary, and the tester is given access to
a device that provides uniformly and independently distributed vertices.
In addition, the tester may be (explicitly) given partial information
regarding the vertex-set (e.g., an approximation of its size).

The flexible models are more adequate for actual applications,
and also facilitates the presentation of some theoretical results
(e.g., reductions among property testing problems).

This programmatic note contains no real results.
It merely presents the suggested definitions and discusses them.

#### Material available on-line

Back to
either Oded Goldreich's homepage
or general list of papers.