Discrete Applied Mathematics
NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs
Journal of Algorithms
On Syntactic versus Computational Views of Approximability
SIAM Journal on Computing
On the hardness of approximating minimization problems
Journal of the ACM (JACM)
Alarm placement in systems with fault propagation
Theoretical Computer Science
Minimizing the size of an identifying or locating-dominating code in a graph is NP-hard
Theoretical Computer Science
Faster and Simpler Algorithms for Multicommodity Flow and other Fractional Packing Problems.
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Networking Wireless Sensors
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
On a new class of codes for identifying vertices in graphs
IEEE Transactions on Information Theory
ADHOC-NOW'07 Proceedings of the 6th international conference on Ad-hoc, mobile and wireless networks
Local approximation algorithms for scheduling problems in sensor networks
ALGOSENSORS'07 Proceedings of the 3rd international conference on Algorithmic aspects of wireless sensor networks
Network verification via routing table queries
SIROCCO'11 Proceedings of the 18th international conference on Structural information and communication complexity
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We study the approximability and inapproximability of finding identifying codes and locating-dominating codes of the minimum size. In general graphs, we show that it is possible to approximate both problems within a logarithmic factor, but sublogarithmic approximation ratios are intractable. In bounded-degree graphs, there is a trivial constant-factor approximation algorithm, but arbitrarily low approximation ratios remain intractable. In so-called local graphs, there is a polynomial-time approximation scheme. We also consider fractional packing of codes and a related problem of finding minimum-weight codes.