@article{Gishboliner2019TestingGA,
title={Testing graphs against an unknown distribution},
author={Lior Gishboliner and A. Shapira},
journal={Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing},
year={2019}
}

Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing

The classical model of graph property testing, introduced by Goldreich, Goldwasser and Ron, assumes that the algorithm can obtain uniformly distributed vertices from the input graph. Goldreich introduced a more general model, called the Vertex-Distribution-Free model (or VDF for short) in which the testing algorithm obtains vertices drawn from an arbitrary and unknown distribution. The main motivation for this investigation is that it can allow one to give different weight/importance to… Expand