Institution: | Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)CoRE Bldg., Rutgers University 96 Frelinghuysen Rd., Piscataway, NJ 08854, U.S.A. Computer Science Research InstituteSandia National Laboratories Albuquerque, NM 87185, U.S.A. Department of Computer Science University of New Mexico Albuquerque, NM 87131, U.S.A. |
Abstract: | We consider the problem of placing sensors in a network to detect and identify thesource of any contamination. We consider two variants of this problem:- (1) sensor-constrained: we are allowed a fixed number of sensors and want to minimize contaminationdetection time; and
(2) time-constrained: we must detect contamination within a given time limit and want to minimize the number of sensors required.
Our main results are as follows. First, we give a necessary and sufficient condition for source identification.Second, we show that the sensor and time constrained versions of the problem are polynomially equivalent. Finally, we show that the sensor-constrained version of the problem is polynomially equivalent to the asymmetric k-center problem and that the time-constrained version of the problem is polynomially equivalent to the dominating set problem. |