This week, I presented our results on longest common prefix (LCP) array construction. Our foundation is DivSufSort, which is the fastest suffix array construction algorithm in practice.
First, we give a detailed explanation of the internal workings of DivSufSort, something that has not been done yet. Then, we extend DivSufSort such that it can also compute the LCP array of the text.
The slides are available as handout and heavily animated, and you can find the paper here (conference website) and here (arXiv).
We give the first concise description of the fastest known suffix sorting algorithm in main memory, the DivSufSort by Yuta Mori. We then present an extension that also computes the LCP-array, which is competive with the fastest known LCP-array construction algorithm.