The bit complexity of the predecessor problem
β Scribed by Y. Afek; M. Cohen; E. Haalman
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 348 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
β¦ Synopsis
A tight bound of 2n -1 bits on the communication complexity of the "predecessor" problem in a synchronous ring (previously known as the "last in a synchronous ring" problem) is presented. @ 1997 Elsevier Science B.V.
π SIMILAR VOLUMES
We obtain matching upper and lower bounds for the amount of time to find the predecessor of a given element among the elements of a fixed compactly stored set. Our algorithms are for the unit-cost word RAM with multiplication and are extended to give dynamic algorithms. The lower bounds are proved f
## Abstract We study the computational complexity of finding a line that bisects simultaneously two sets in the twoβdimensional 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