We show that the fixed alphabet shortest common supersequence (SCS) and the fixed alphabet longest common subsequence (LCS) problems parameterized in the number of strings are W ยฝ1-hard. Unless W ยฝ1 ยผ FPT; this rules out the existence of algorithms with time complexity of Oรฐ f รฐkรn a ร for those pro
On the approximation of longest common nonsupersequences and shortest common nonsubsequences
โ Scribed by Louxin Zhang
- Book ID
- 107948804
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 639 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper considers the approximability of the largest common subtree and the largest common point-set problems, which have applications in molecular biology. It is shown that the problems cannot be approximated within a factor of n 1-in polynomial time for any ยฟ0 unless NP โ ZPP, while a general s
Problems associated with รฟnding strings that are within a speciรฟed Hamming distance of a given set of strings occur in several disciplines. In this paper, we use techniques from parameterized complexity to assess non-polynomial time algorithmic options and complexity for the COMMON APPROXIMATE SUBST
We investigate an axiomatization of the notion of common belief (knowledge) that makes use of no rules of inference (apart from Modus Ponens and Necessitation) and highlight the property of the set of accessibility relations that characterizes each axiom.