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Graph Classes Based on Interval Structures

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Graph Classes Based on Interval Structures George B. Mertzios
Libristo kod: 07008958
Interval structures arise naturally in many applications, as in genetics, molecular biology, resourc... Cijeli opis
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Interval structures arise naturally in many applications, as in genetics, molecular biology, resource allocation, and scheduling, among others. Such structures are often modeled with graphs, such as interval and tolerance graphs, which have been widely studied. In this book we mainly investigate these classes of graphs, as well as a scheduling problem. We present solutions to some open problems, along with some new representation models that enable the design of new efficient algorithms. In the context of interval graphs, we present the first polynomial algorithm for the longest path problem, whose complexity status was an open question. Furthermore, we introduce two matrix representations for both interval and proper interval graphs, which can be used to derive efficient algorithms. In the context of tolerance graphs, we present the first non-trivial intersection model, given by three-dimensional parallelepipeds, which enables the design of efficient algorithms for some NP-hard optimization problems. Furthermore, we prove that both recognition problems for tolerance and bounded tolerance graphs are NP-complete, thereby settling a long standing open question since 1982.

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Informacije o knjizi

Puni naziv Graph Classes Based on Interval Structures
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 2010
Broj stranica 164
EAN 9783838111957
ISBN 3838111958
Libristo kod 07008958
Težina 249
Dimenzije 152 x 229 x 10
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