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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.

8 votes
Accepted

efficient arithmetic with (short) Conway games?

There are indeed (relatively) efficient algorithms to do this (computing canonical form in particular, deciding equality etc.) …
Michael Albert's user avatar
5 votes
Accepted

How to efficiently sample uniformly from the set of $p$-equipartitions of an $n$-set?

Randomly permute $n$ and then divide into blocks of size $n/p$.
Michael Albert's user avatar
1 vote
Accepted

Ordered lattice point enumeration

I am going to try to answer the version of the Observation which seems to imply that the original "orthogonal" basis condition really is meant to mean "positive multiples of the standard basis vectors …
Michael Albert's user avatar
3 votes

An interesting variant on the maximum independent set problem.

Suppose that $G$ is obtained from the complete bipartite graph with parts of size $n/2$ by adding some edges in each part. Then a maximum independent set lies in one part or the other, so determining …
Michael Albert's user avatar