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Results tagged with algorithms
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user 506692
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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Recurrence relation quicksort median-of-three
I am looking for a recurrence relation that describes the average number of comparisons of the quicksort algorithm considering an input array of size $n$. If the pivot element is picked randomly, the …
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Accepted
Recurrence relation quicksort median-of-three
It takes $3$ comparisons to determine the median of the three elements. However, we can set the pointers to the second and second-last element and thus save two comparisons. So, we need $n+2$ comparis …
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Efficient algorithm for graph problem
Let $D=(V,E)$ be a directed graph, $S,T\subset V$ and $f:V\rightarrow \{1,\ldots, k\}$ a positive, bounded weight-function and $l\in \mathbb{N}$, find a path $v_1,\ldots, v_l\in V$ with $v_1\in S$ and …
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Efficient Algorithm for graph problem
The normal A* algorithm can be modified to quit only at a path of the desired length. As @RobPratt suggested, two new vertices can avoid multiple sinks and sources.
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