English

Parameter testing with bounded degree graphs of subexponential growth

Combinatorics 2009-07-02 v3 Mathematical Physics math.MP

Abstract

Parameter testing algorithms are using constant number of queries to estimate the value of a certain parameter of a very large finite graph. It is well-known that graph parameters such as the independence ratio or the edit-distance from 3-colorability are not testable in bounded degree graphs. We prove, however, that these and several other interesting graph parameters are testable in bounded degree graphs of subexponential growth.

Keywords

Cite

@article{arxiv.0711.2800,
  title  = {Parameter testing with bounded degree graphs of subexponential growth},
  author = {Gabor Elek},
  journal= {arXiv preprint arXiv:0711.2800},
  year   = {2009}
}

Comments

To appear in Random Structures and Algorithms. (note that the title has changed)

R2 v1 2026-06-21T09:44:35.486Z