English

Testing properties of graphs and functions

Combinatorics 2008-03-11 v2 Functional Analysis

Abstract

We define an analytic version of the graph property testing problem, which can be formulated as studying an unknown 2-variable symmetric function through sampling from its domain and studying the random graph obtained when using the function values as edge probabilities. We give a characterization of properties testable this way, and extend a number of results about ``large graphs'' to this setting. These results can be applied to the original graph-theoretic property testing.

Keywords

Cite

@article{arxiv.0803.1248,
  title  = {Testing properties of graphs and functions},
  author = {Laszlo Lovasz and Balazs Szegedy},
  journal= {arXiv preprint arXiv:0803.1248},
  year   = {2008}
}

Comments

34 pages

R2 v1 2026-06-21T10:19:51.751Z