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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.
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Compute the average path weights of paths with the same path length in a directed acyclic gr...
No need for an external graph, you can use the following recurrence (for edge and vertex weights) which is very similar to yours:
$n_v(l)$ number of paths of length $l$ that end at $v$
$w_v(l)$ sum o …