0000000770 00000 n Suppose we have a million test cases, and we're going to test a program by picking a test case, randomly modifying ("mutating") it by flipping a few bits, and running the program on the modified test case to see if it crashes. Mendeley Unfortunately, in certain applications, the number of columns is combinatorially dependent on the number of rows, and can reach many orders of magnitude greater, for 500–1,000 rows.

0000018320 00000 n We study an extension of the set cover problem, the connected set cover problem, the problem is to find a set cover of minimal size that satisfies some connectivity constraint.

Zotero Springer, New York (2000)Ramaswami, R., Sasaki, G.: Multiwavelength optical networks with limited wavelength conversion. %%EOF Briers, A.: Incorporating connectivity into reserve selection procedures. 0000003392 00000 n Then a number of such local work/no work schedules must be selected, such that each flight is covered exactly once, yielding a global work/no work schedule?

There must be one base set that needs to be covered, e.g. We'd like to do this over and over again. trailer Say you have a set of potential employees each with a set of skills and you need to select smallest poasible subset that covers all skills.

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of Computer Science, University of Bonn, Germany ffirstname.lastnameg@iais.fraunhofer.de Abstract. Please write to us at contribute@geeksforgeeks.org to report any issue with the above content. Learn more about hiring developers or posting ads with us (eds.) acknowledge that you have read and understood our

Journal of Computer and System Sciences 9, 256–278 (1974)Possingham, H., Ball, I., Andelman, S.: Mathematical methods for representative reserve networks. 0000007458 00000 n Stack Exchange network consists of 177 Q&A communities including 0000002721 00000 n

0000020233 00000 n 291–306. Probably the easiest way to solve nontrivial instances of set cover in practice is to find an integer programming package with an interface to R or C++. 0000006908 00000 n But please do feel free to add that link to your profile page -- it would be completely appropriate there!Could you please explain why this is a set cover problem? In mathematics, given a collection S of subsets of a set X, an exact cover is a subcollection S * of S such that each element in X is contained in exactly one subset in S *.One says that each element in X is covered by exactly one subset in S *.An exact cover is a kind of cover.. USD 89.00 Consider the following example. Learn more about Stack Overflow the company It only takes a minute to sign up.I am studying about set cover problem and wondering that which problems in real world can be solved by set cover. Anybody can ask a question It was one of Karp’s NP-complete problems, shown to be so in 1972. Other applications: edge covering, vertex cover Interesting example: IBM finds computer viruses (wikipedia) Elements- 5000 known viruses Sets- 9000 substrings of 20 or more consecutive bytes from viruses, not found in ‘good’ code. JabRef Mendeley BibTeX In: Ferson, S., Burgman, M. Given a universe U of n elements, a collection of subsets of U say S = {SAnother example: Consider General Motors needs to buy a certain amount of varied supplies and there are suppliers that offer various deals for different combinations of materials (Supplier A: 2 tons of steel + 500 tiles for $x; Supplier B: 1 ton of steel + 2000 tiles for $y; etc.).

Probably there are some sort of local work/no work schedules, and each such work schedule determines a set of flights that is being covered?

0000001084 00000 n Similarly, given a list of different kinds of fruits, each having its set of vitamins, what is the smallest set of different kinds of fruits covering all the vitamines you need, and so on.Since you tagged graphs in your question, here are two applications of vertex-cover that might be interesting for you.

A set cover of 180 was found. endstream endobj 399 0 obj<>/Size 378/Type/XRef>>stream By clicking “Post Your Answer”, you agree to our To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Anybody can answer


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