A Survey of Combinatorial Gray Codes
SIAM Review
Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ®
Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ®
The Art of Computer Programming, Volume 4, Fascicle 3: Generating All Combinations and Partitions
The Art of Computer Programming, Volume 4, Fascicle 3: Generating All Combinations and Partitions
Improved Results for Competitive Group Testing
Combinatorics, Probability and Computing
Note: Exploring the missing link among d-separable, d-separable and d-disjunct matrices
Discrete Applied Mathematics
Improved Combinatorial Group Testing Algorithms for Real-World Problem Sizes
SIAM Journal on Computing
Competitive group testing and learning hidden vertex covers with minimum adaptivity
FCT'09 Proceedings of the 17th international conference on Fundamentals of computation theory
Bounds for nonadaptive group tests to estimate the amount of defectives
COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part II
Constructing orthogonal de Bruijn sequences
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
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We present a new approach to identify the locations of critical DNA or RNA sequence signals which couples large-scale synthesis with sophisticated designs employing combinatorial group testing and balanced Gray codes. Experiments in polio and adenovirus demonstrate the efficiency and generality of this procedure. In this paper, we give a new class of consecutive positive group testing designs, which offer a better tradeoff of cost, resolution, and robustness than previous designs for signal search. Let n denote the number of distinct regions in a sequence, and d the maximum number of consecutive positives regions which can occur. We propose a design which improves on the consecutive-positive group testing designs of Colbourn. Our design completely identifies the boundaries of the positive region using t tests, where t≈log2(1.27n/d)+0.5 log2(log2 (1.5 n /d) )+d.