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Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

0 votes
1 answer
72 views

Algorithm to find most efficent partitioning of a set

Given a set $S$ with a finite number of elements, where each $s_i\in S$ is itself a set with a finite number of elements, how do you partition $S$ using as few partitions as possible, such that all el …
Alecto's user avatar
  • 564
3 votes
1 answer
474 views

Algorithm to mimimally pair up points in 3D space

Given a set of $n$ points $P$ and a set of $n$ points $Q$ in 3 dimensional space, what's the fastest algorithm to uniquely pair points in $P$ with points in $Q$ so that the sum of the square of the di …
Alecto's user avatar
  • 564
2 votes
1 answer
177 views

Best combination of values pulled from a matrix

What is the fastest way to select $n$ values from an $n$ by $n$ matrix such that each value comes from a different row and column and the sum of those n values is minimized? For example, given the ma …
Alecto's user avatar
  • 564