Research output: Contribution to journal › Article › peer-review
It is still not known whether a shortest common superstring (SCS) of n input strings can be found faster than in O*(2n) time (O*(̇) suppresses polynomial factors of the input length). In this short note, we show that for any constant r, SCS for strings of length at most r can be solved in time O*(2 (1-c(r))n) where c(r)=(1+2r2)-1. For this, we introduce so-called hierarchical graphs that allow us to reduce SCS on strings of length at most r to the directed rural postman problem on a graph with at most k=(1-c(r))n weakly connected components. One can then use a recent O*(2k) time algorithm by Gutin, Wahlström, and Yeo.
Original language | English |
---|---|
Pages (from-to) | 421-425 |
Number of pages | 5 |
Journal | Information Processing Letters |
Volume | 114 |
Issue number | 8 |
DOIs | |
State | Published - Aug 2014 |
ID: 49826155