For shortest paths look at:
http://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm
and also:
"An algorithm for computing all paths in a graph" by Lars-Erik Thorelli http://www.springerlink.com/content/t53j31t5012v6605/
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added title and author information to (non-wikipedia) linked article
Joseph Malkevitch
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