Series on Applied Mathematics - Vol. 3
COMBINATORIAL GROUP TESTING AND ITS APPLICATIONS
by D-Z Du (Univ Minnesota) & F K Hwang (AT&T Bell Labs.)
Group testing was first proposed for blood tests, but soon found its way to many industrial applications. Combinatorial group testing studies the combinatorial aspect of the problem and is particularly related to many topics in combinatorics, computer science and operations research. Recently, the idea of combinatorial group testing has been applied to experimental designs, coding, multiaccess computer communication, clone library screening and other fields. This book is the first attempt to cover the theory and applications of combinatorial group testing in one place.
"The book under review for the first time collects all theory and applications about combinatorial group testing in one place. The presentation of the material is well organized, the material is illustrated by many examples. This book may not only serve as a source and reference book, but is also attractive to students since it treats interesting 'real life' problems."
| C Krattenthaler | | Monatshefte Für Mathematik, 1996 |
Contents:
- Introduction
- General Algorithms
- Algorithms for Special Cases
- Nonadaptive
Algorithms and Binary Superimposed Codes
- Multiaccess Channels and Extensions
- Some Other Group Testing Models
- Competitive Group Testing
- Unreliable Tests, Optimal Search in One Variable
- Unbounded Search
- Group Testing on Graphs
- Membership Problems
- Complexity Issues
- Index
Readership: Researchers in applied mathematics, operations research, computer science,
genetics statistics and public health.
| 264pp |
Pub. date: Nov 1993 |
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