A Finite-Compactness Notion, and Property Testing
نویسندگان
چکیده
We investigate properties Π of graphs G of size N such that possession of Π by all f(N)-node subgraphs implies possession of Π by some g(N)-node subgraph. Bounds are given on f(N) and g(N) for bipartiteness. This is compared to a situation in property testing, where edge-induced subgraphs are involved and different, intuitively “better,” bounds are obtained. Bounds are discussed for other properties, and possible links to logical formulas describing the properties are raised.
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تاریخ انتشار 2011