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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.

12 votes
Accepted

Is this problem solvable in polynomial time?

There is a straightforward encoding of 3-SAT into this problem, which means that unless P=NP, no, there cannot be a polynomial-time algorithm that solves it. The encoding can be constructed as follows …
Klaus Draeger's user avatar
4 votes

Find all faces in a graph from list of edges

Expanding a bit on the comments to Federico's answer: If the neighbors of each vertex are listed in counterclockwise order, this defines an embedding on a surface, and if this information was obtained …
Klaus Draeger's user avatar