Covering a Set with Arithmetic Progressions is NP-Complete

Heath, Lenwood (1989) Covering a Set with Arithmetic Progressions is NP-Complete. Technical Report TR-89-25, Computer Science, Virginia Polytechnic Institute and State University.

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Abstract

This paper defines a new class of set covering problems in which the subsets are implicitly derived from the properties of the set elements. In particular, the set elements are integers and the subsets are finite arithmetic progressions. Both minimum cover and exact cover problems are defined. Both problems are shown to be NP-Complete.

Item Type:	Departmental Technical Report
Subjects:	Computer Science > Historical Collection(Till Dec 2001)
ID Code:	162
Deposited By:	User autouser
Deposited On:	05 December 2001