次指数增长有界度图的参数检验
Parameter testing with bounded degree graphs of subexponential growth
摘要:
参数测试算法是利用常数查询次数来估计一个非常大的有限图的某个参数的值。众所周知,在有界度图中,图的参数如独立比或3-可染性的编辑距离是不可测的。然而,我们证明,这些和其他几个有趣的图形参数是可测试的有界度图的次指数增长。
英文摘要:
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.
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