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Jun 27, 2012 at 11:05 comment added Pat Devlin Well of course you can get a bunch of "trivial" semi-metrics (just get a semi-metric that has almost nothing to do with the tree structure) (or get a metric and then mess it up a little), and you can get the (useful) metric with path of least weight [but in a tree, there's exactly one path between any two vertices anyway]. It would help to know what types of properties you would like the semi-metric to have. Your question is presumably "is there a 'nice' semi-metric?", and it would help to have your definition of 'nice'.
Jun 27, 2012 at 8:35 answer added baronbrixius timeline score: 2
Jun 27, 2012 at 7:40 history asked K A Khan CC BY-SA 3.0