Optimal top dag compression

نویسندگان

  • Markus Lohrey
  • Carl Philipp Reh
  • Kurt Sieber
چکیده

It is shown that for a given ordered node-labelled tree of size $n$ and with $s$ many different node labels, one can construct in linear time a top dag of height $O(\log n)$ and size $O(n / \log_\sigma n) \cap O(d \cdot \log n)$, where $\sigma = \max\{ 2, s\}$ and $d$ is the size of the minimal dag. The size bound $O(n / \log_\sigma n)$ is optimal and improves on previous bounds.

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عنوان ژورنال:
  • CoRR

دوره abs/1712.05822  شماره 

صفحات  -

تاریخ انتشار 2017