{ "id": "0711.2800", "version": "v3", "published": "2007-11-18T17:05:30.000Z", "updated": "2009-07-02T15:30:22.000Z", "title": "Parameter testing with bounded degree graphs of subexponential growth", "authors": [ "Gabor Elek" ], "comment": "To appear in Random Structures and Algorithms. (note that the title has changed)", "categories": [ "math.CO", "math-ph", "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.", "revisions": [ { "version": "v3", "updated": "2009-07-02T15:30:22.000Z" } ], "analyses": { "subjects": [ "05C99" ], "keywords": [ "bounded degree graphs", "subexponential growth", "large finite graph", "parameter testing algorithms", "constant number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.2800E" } } }