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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.

4 votes

Constructing Steiner Triple Systems Algorithmically

point set and an empty set as its block set (i.e., the trivial design ${\rm STS}(1)$) and successively construct an ${\rm STS}(3)$, ${\rm STS}(7)$, ${\rm STS}(9)$, and so forth by applying the same algorithms … Applying these two algorithms recursively gives you an ${\rm STS}(v)$ for all $v \equiv 1, 3 \pmod{6}$, covering all $v$ satisfying the necessary conditions for the existence of an ${\rm STS}(v)$. …
Yuichiro Fujiwara's user avatar
1 vote

Doing column permutation under row overlap constraint

If you would like another textbook example of pseudo-random algorithms for avoiding $4$-cycles in LDPC codes, you can find one by MacKay and Neal in Section 1.3.1 of this article by S. J. …
Yuichiro Fujiwara's user avatar