**Reference**:- Therese Biedl, Broňa Brejová, Erik D. Demaine, Angèle M. Hamel, Alejandro López-Ortiz, and Tomáš Vinař, “Finding Hidden Independent Sets in Interval Graphs”, Technical Report 2001-26, Department of Computer Science, University of Waterloo, December 2001.
**Abstract**:-
We design efficient competitive algorithms for discovering information hidden
by an adversary. Specifically, consider a game in a given interval graph
*G*in which the adversary chooses an independent set*X*in*G*. Our goal is to discover this hidden independent set*X*by making the fewest queries of the form “Is point*p*covered by an interval in*X*?” Our interest in this problem stems from two applications: experimental gene discovery with PCR technology and the game of Battleship (in a 1-dimensional setting). We provide adaptive algorithms for both the verification scenario (given an independent set, is it*X*?) and the discovery scenario (find*X*without any information). Under some assumptions on the interval graph, these algorithms use an asymptotically optimal number of queries in every instance. **Length**:- The paper is 21 pages.
**Availability**:- The paper is available in PostScript (294k) and gzipped PostScript (112k).
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**Related papers**:- PCR_TCS (Finding Hidden Independent Sets in Interval Graphs)
- PCR_COCOON2003 (Finding Hidden Independent Sets in Interval Graphs)

See also other papers by Erik Demaine.

Last updated January 4, 2022 by Erik Demaine.