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The plurality problem with three colors and more
- Source :
-
Theoretical Computer Science . Jun2005, Vol. 337 Issue 1-3, p319-330. 12p. - Publication Year :
- 2005
-
Abstract
- Abstract: The plurality problem is a game between two participants: Paul and Carole. We are given n balls, each of them is colored with one out of c colors. At any step of the game, Paul chooses two balls and asks whether they are of the same color, whereupon Carole answers yes or no. The game ends when Paul either produces a ball a of the plurality color (meaning that the number of balls colored like a exceeds those of the other colors), or when Paul states that there is no plurality. How many questions does Paul have to ask in the worst case? For , the problem is equivalent to the well-known majority problem which has already been solved (Combinatorica 11 (1991) 383–387). In this paper we show that Moreover, for any , we show that surprisingly the naive algorithm for the plurality problem is asymptotically optimal. [Copyright &y& Elsevier]
- Subjects :
- *EDUCATIONAL games
*ALGORITHMS
*POLYNOMIALS
*APPROXIMATION theory
Subjects
Details
- Language :
- English
- ISSN :
- 03043975
- Volume :
- 337
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Theoretical Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 19202709
- Full Text :
- https://doi.org/10.1016/j.tcs.2004.12.035