ECCC-Report TR18-104https://eccc.weizmann.ac.il/report/2018/104Comments and Revisions published for TR18-104en-usSun, 10 Jun 2018 18:12:27 +0300
Revision 1
| Flexible models for testing graph properties |
Oded Goldreich
https://eccc.weizmann.ac.il/report/2018/104#revision1The 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.
Sun, 10 Jun 2018 18:12:27 +0300https://eccc.weizmann.ac.il/report/2018/104#revision1
Paper TR18-104
| Flexible models for testing graph properties |
Oded Goldreich
https://eccc.weizmann.ac.il/report/2018/104The 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.
Tue, 29 May 2018 17:57:30 +0300https://eccc.weizmann.ac.il/report/2018/104