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- 4$\begingroup$ 1. The triangle inequality is not satisfied. "Path size increases" is not equivalent to the triangle inequality. 2. What have you tried? There's a standard proof of correctness for Dijkstra's algorithm, available in every textbook. Have you tried working through that proof, but now with the difference cost metric, to see if every step still holds? $\endgroup$D.W.– D.W. ♦2016-06-18 16:52:45 +00:00Commented Jun 18, 2016 at 16:52
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