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arXiv · 1608.07002

A simple linear space algorithm for computing a longest common increasing subsequence

Daxin Zhu·Lei Wang·Tinran Wang·Xiaodong Wang
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Abstract

This paper reformulates the problem of finding a longest common increasing subsequence of the two given input sequences in a very succinct way. An extremely simple linear space algorithm based on the new formula can find a longest common increasing subsequence of sizes $n$ and $m$ respectively, in time $O(nm)$ using additional $\min\{n,m\}+1$ space.

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Daxin Zhu, Lei Wang, Tinran Wang, Xiaodong Wang. 2016-08-25. A simple linear space algorithm for computing a longest common increasing subsequence. https://arxiv.org/abs/1608.07002

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