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Algorithmic and Analysis Techniques in Property Testing (Paperback)
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Algorithmic and Analysis Techniques in Property Testing (Paperback)
Series: Foundations and Trends (R) in Theoretical Computer Science
Expected to ship within 10 - 15 working days
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Property testing algorithms are ultra-efficient algorithms that
decide whether a given object (e.g., a graph) has a certain
property (e.g., bipartiteness), or is significantly different from
any object that has the property. To this end property testing
algorithms are given the ability to perform (local) queries to the
input, though the decisions they need to make usually concern
properties with a global nature. In the last two decades, property
testing algorithms have been designed for many types of objects and
properties, amongst them, graph properties, algebraic properties,
geometric properties, and more. In this book the authors survey
results in property testing, with an emphasis on common analysis
and algorithmic techniques. Among the techniques surveyed are the
following: a) The self-correcting approach, which was mainly
applied in the study of property testing of algebraic properties.
b) The enforce and test approach, which was applied quite
extensively in the analysis of algorithms for testing graph
properties (in the dense-graphs model), as well as in other
contexts. c) Szemeredi's Regularity Lemma, which plays a very
important role in the analysis of algorithms for testing graph
properties (in the dense-graphs model). d) The approach of Testing
by implicit learning, which implies efficient testability of
membership in many functions classes. e) Algorithmic techniques for
testing properties of sparse graphs, which include local search and
random walks.
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