Non-Deterministic Graph Property Testing

L. Lovász,K. Vesztergombi

Published 2012 in Combinatorics, probability & computing

ABSTRACT

A property of finite graphs is called non-deterministically testable if it has a ‘certificate’ such that once the certificate is specified, its correctness can be verified by random local testing. In this paper we study certificates that consist of one or more unary and/or binary relations on the nodes, in the case of dense graphs. Using the theory of graph limits, we prove that non-deterministically testable properties are also deterministically testable.

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