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Also, the citation to MathWorld is unwise. MathWorld is notably unreliable. A citation to a real publication is needed. [[Special:Contributions/128.226.2.54|128.226.2.54]] ([[User talk:128.226.2.54|talk]]) 20:01, 23 January 2024 (UTC)
:The transitive closure and shortest path algorithms are all using a dynamic program to compute aggregate information about the same subsets of paths of a graph, in the same order. They differ only in what aggregate information they compute: whether it is the existence of a path or whether it is the minimum weight of the path. That is, where one has an OR, the other has a MIN. That is the only difference. The regular expression conversion algorithm has the same structure but replaces the OR of Boolean values or the MIN of numbers with the OR of regular expressions. The fact that these algorithms are really doing the same thing with different operations was formalized in the 1970s using the theory of
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