It is believed that the native folded three-dimensional conformation of a protein is its lowest free energy state, or one of its lowest. It is shown here that both a two-and three-dimensional mathematical model describing the folding process as a free energy minimization problem is NPhard. This mean
On the complexity of string folding
β Scribed by Mike Paterson; Teresa Przytycka
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 1001 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
β¦ Synopsis
A fold of a finite string S over a given alphabet is an embedding of S in some fixed infinite grid, such as the square or cubic mesh. The score of a fold is the number of pairs of matching string symbols which are embedded at adjacent grid vertices. Folds of strings in two-and threedimensional meshes are considered, and the corresponding problems of optimizing the score or achieving a given target score are shown to be NP-hard.
π SIMILAR VOLUMES
In this paper we study the exact comparison complexity of the string prefixmatching problem in the deterministic sequential comparison model with equality tests. We derive almost tight lower and upper bounds on the number of symbol comparisons required in the worst case by on-line prefix-matching al