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Also, there's some recent work on similar metrics, if you are interested. Do check out (https://arxiv.org/abs/1609.00512) and Sabine Storandt's work on how route planning algorithms behave as graphs scale (https://aaai.org/ocs/index.php/ICAPS/ICAPS18/paper/view/1774...)

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Wow, the abstract on skeleton dimension looks quite amazing. I only happened to come across HD after working on a tangentially related algorithm, but I didn't keep up with the progress on that front... it didn't even hit me they might've already progressed beyond that to a stronger measure. That's pretty awesome, thanks for sharing!

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