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  1. Sep 2018
    1. and its distance to all points on its left willincreasebyδ

      This relies on an unstated fact that the shortest path between these points is along this line. I don't know how familiar you're expecting the reader to be with this.

    2. tor of 2 is NP-hard, and is therefore as hard as solving the problemexactly

      At this point I wonder: "How does one then distinguish among the many possible solutions that are 2-approximations?"

    3. Effectively, we are searching for a partition in which the maximum radiusof a cluster is minimized.

      It's been a few pages since jumping into definitions. It may be worthwhile to emphasize somewhere earlier that these particular definitions are not applicable to every clustering problem, but rather it's a set of examples that cover a large set of techniques while showing many of the important considerations.

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