Barely Significant
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Solving hard computational problems efficiently: asymptotic parametric complexity 3-coloring algorithm.

PLoS One · 2013 · PMC3544923 · PMID 23349711

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highly significantno p-value reported
Here, as the main theoretical result, it is proved, the non-trivial and highly significant fact, that the probability of requiring a value of for obtaining a solution decreases exponentially as a function of k .

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.