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

preprint2016arXivOpen access

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 nn and mm respectively, in time O(nm)O(nm) using additional min⁡{n,m}+1\min\{n,m\}+1 space.

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