Graph Classes based on Interval Structures: Combinatorial Optimization and Recognition of Graph Classes with Applications to Related Models - Softcover

Mertzios, George B.

 
9783838111957: Graph Classes based on Interval Structures: Combinatorial Optimization and Recognition of Graph Classes with Applications to Related Models
Softcover
ISBN 10: 3838111958 ISBN 13: 9783838111957
Verlag: Suedwestdeutscher Verlag fuer Hochschulschriften, 2010

Inhaltsangabe

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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Über die Autorin bzw. den Autor

George Mertzios, born in Greece (1983), has studied AppliedMathematics and Informatics at the National Technical Univ. ofAthens and the Technische Univ. München. In 2009 he received hisPh.D. on Computer Science at the RWTH Aachen University. Duringhis school years he received the Gold Medal at the 2nd JuniorBalkan Mathematical Olympiad (1998).

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Verlag
Suedwestdeutscher Verlag fuer Hochschulschriften
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
3838111958
ISBN 13 
9783838111957
Einband
Taschenbuch
Anzahl der Seiten
164
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Riga
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