## Abstract We study the computational complexity of finding a line that bisects simultaneously two sets in the two‐dimensional plane, called __the pancake problem__, using the oracle Turing machine model of Ko. We also study the basic problem of bisecting a set at a given direction. Our main resul
On the complexity of the car sequencing problem
✍ Scribed by Tamás Kis
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 190 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
✦ Synopsis
In this note we give an easier proof of the known result that the car sequencing problem is NP-hard, and point out that it is NP-hard in the strong sense. We show that a previous claim of NP-completeness is incorrect, and instead we give a su cient condition of membership of NP. We also provide a pseudo-polynomial algorithm for a special case.
📜 SIMILAR VOLUMES
The importance of paying attention to the complexity of recursion in problem solving is stressed. Many ill-founded beliefs and doctrines on constructing recursive algorithms are challenged. The Tower of Hanoi problem and its variant are used as concrete examples for illustrating that many seemingly