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Questions about graphs in which every edge is associated with a weight.

3
votes
Though the Borůvka's algorithm (wiki) for minimum spanning tree is (sometimes? often?) described for weighted graphs with distinct edge weights, this treatment is only for convenience. If we have an …
answered Jan 26 '15 by hengxin
1
vote
Note: The original answer has a flaw in "without loss of generality". The following one is based on Section 8.2.3 of the book "Computer Algorithms" (3rd edition) by Sara Baase and Allen Van Gelder. …
answered May 15 '16 by hengxin
6
votes
I contacted one of the authors (Kevin Wayne; thanks) of the textbook "Algorithms, 4th Edition" and got a hint: Try adding "t-joins" or "perfect matching" to your web searches. Following this, I …
answered Jun 16 '17 by hengxin