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CORR
2010
Springer
119views Education» more  CORR 2010»
14 years 10 months ago
Graph-Constrained Group Testing
Non-adaptive group testing involves grouping arbitrary subsets of n items into different pools. Each pool is then tested and defective items are identified. A fundamental question...
Mahdi Cheraghchi, Amin Karbasi, Soheil Mohajer, Ve...
105
Voted
JCO
2007
65views more  JCO 2007»
14 years 10 months ago
Group testing in graphs
This paper studies the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that t(G) tests are sufficient to identify an u...
Justie Su-tzu Juan, Gerard J. Chang
JCO
2007
56views more  JCO 2007»
14 years 10 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
102
Voted
FCT
2009
Springer
15 years 4 months ago
Competitive Group Testing and Learning Hidden Vertex Covers with Minimum Adaptivity
Suppose that we are given a set of n elements d of which are “defective”. A group test can check for any subset, called a pool, whether it contains a defective. It is well know...
Peter Damaschke, Azam Sheikh Muhammad
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
15 years 10 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson