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- W2090435360 abstract "We study the problem of testing properties of hypergraphs. The goal of property testing is to distinguish between the case whether a given object has a certain property or is “far away” from the property. We prove that the fundamental problem of ℓ -colorability of k -uniform hypergraphs can be tested in time independent of the size of the hypergraph. We present a testing algorithm that examines only ( k ℓ / ε ) O ( k ) entries of the adjacency matrix of the input hypergraph, where ε is a distance parameter independent of the size of the hypergraph. The algorithm tests only a constant number of entries in the adjacency matrix provided that ℓ , k , and ε are constants. This result is a generalization of previous results about testing graph colorability." @default.
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- W2090435360 date "2005-02-01" @default.
- W2090435360 modified "2023-09-30" @default.
- W2090435360 title "Testing hypergraph colorability" @default.
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- W2090435360 doi "https://doi.org/10.1016/j.tcs.2004.09.031" @default.
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