Approximating Shortest Superstrings

Shang-Hua Teng, F. Frances Yao

Abstract: The Shortest Superstring Problem is to find a shortest possible string that contains every string in a given set as substrings. This problem has applications to data compression and DNA sequencing. As the problem is NP-hard and MAX SNP-hard, approximation algorithms are of interest. We present a new algorithm which always finds a superstring that is at most 2.89 times as long as the shortest superstring. Our result improves the 3-approximation result of Blum, Jiang, Li, Tromp, and Yannakakis (1991).<>