NDLI: Parameterized testability

Content Provider	ACM Digital Library
Author	Iwama, Kazuo Yoshida, Yuichi
Abstract	This paper studies property testing for NP optimization problems with parameter k under the general graph model with an augmentation of random edge sampling capability. It is shown that a variety of such problems, including k-Vertex Cover, k-Feedback Vertex Set, k-Multicut, k-path-freeness and k-Dominating Set, are constant-time testable if k is constant. It should be noted that the first four problems are fixed parameter tractable (FPT) and it turns out that algorithmic techniques for their FPT algorithms (branch-and-bound search, color coding, etc.) are also useful for our testers. k-Dominating Set is \$W[2]\$-hard, but we can still test the property in constant time since the definition of ε-farness makes the problem trivial for non-sparse graphs that are the source of hardness for the original optimization problem. We also consider k-Odd Cycle Transversal, which is another well-known FPT problem, but we only give a sublinear-time tester when k is a constant.
Starting Page	507
Ending Page	516
Page Count	10
File Format	PDF
ISBN	9781450326988
DOI	10.1145/2554797.2554843
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2014-01-12
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Property testing Fixed parameter tractability
Content Type	Text
Resource Type	Article

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Parameterized testability