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Results tagged with algorithms
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user 37266
Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.
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Examples of algorithms requiring deep mathematics to prove correctness
Using this result, one can obtain algorithms to test many properties of graphs (such as triangle-freeness) with query complexity independent of the size $n$ of the graph. … Section 13.4 (p.102) of these lecture notes by Rocco Servedio ("Sublinear Time Algorithms in Learning and Property Testing"). …
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1
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How to efficiently sample uniformly from the set of $p$-equipartitions of an $n$-set?
I have a question related to this one. For $n,p \in \mathbb{N}_+$ such that $p\mid n$, let $\mathcal{P}^{\rm eq}$ be the set of all equipartitions of $n$ in $p$ sets; i.e., in sets of equal size $\fra …
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