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Combinatorial Group Testing and Its Applications cover

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.

Sample Chapter(s)
Chapter 1: Introduction (723 KB)


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.