English

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

Data Structures and Algorithms 2016-08-26 v1

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.

Keywords

Cite

@article{arxiv.1608.07002,
  title  = {A simple linear space algorithm for computing a longest common increasing subsequence},
  author = {Daxin Zhu and Lei Wang and Tinran Wang and Xiaodong Wang},
  journal= {arXiv preprint arXiv:1608.07002},
  year   = {2016}
}