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The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity (Advanced Lectures in Mathematics) - Softcover
Synopsis
In recent years, algorithmic graph theory has become increasingly important as a link between discrete mathematics and theoretical computer science. This textbook introduces students of mathematics and computer science to the interrelated fields of graphs theory, algorithms and complexity.
"synopsis" may belong to another edition of this title.
Book Description
Discrete mathematics in relation to computer science
From the Back Cover
In recent years, algorithmic graph theory has become increasingly important as a link between discrete mathematics and theoretical computer science. This textbook introduces students of mathematics and computer science to the interrelated fields of graphs theory, algorithms and complexity. No specific previous knowledge is assumed.
The central theme of the book is a geometrical problem dating back to Jakob Steiner. This problem, now called the Steiner problem, was initially of importance only within the context of land surveying. In the last decade, however, applications as diverse as VLSI-layout and the study of phylogenetic trees led to a rapid rise of interest in this problem. The resulting progress has uncovered fascinating connections between and within graph theory, the study of algorithms, and complexity theory. This single problem thus serves to bind and motivate these areas. The book's topics include: exact algorithms, computational complexity, approximation algorithms, the use of randomness, limits of approximability.
A special feature of the book is that each chapter ends with an "excursion" into some related area. These excursions reinforce the concepts and methods introduced for the Steiner problem by placing them in a broader context.
"About this title" may belong to another edition of this title.
- PublisherVieweg+Teubner Verlag
- Publication date2002
- ISBN 10 3528067624
- ISBN 13 9783528067625
- BindingPaperback
- LanguageEnglish
- Number of pages249
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The Steiner Tree Problem. A Tour through Graphs, Algorithms, and Complexity.
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The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity (Advanced Lectures in Mathematics)
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The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity (Advanced Lectures in Mathematics)
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The Steiner Tree Problem
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Vieweg+Teubner, Vieweg+Teubner Verlag Feb 2002, 2002
ISBN 10: 3528067624
ISBN 13: 9783528067625
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -'A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century. Three villages A,B ,C are to be joined by a system of roads of minimum length. ' Due to this remark of Courant and Robbins (1941), a problem received its name that actually reaches two hundred years further back and should more appropriately be attributed to the French mathematician Pierre Fermat. At the end of his famous treatise 'Minima and Maxima' he raised the question to find for three given points in the plane a fourth one in such a way that the sum of its distances to the given points is minimized - that is, to solve the problem mentioned above in its mathematical abstraction. It is known that Evangelista Torricelli had found a geometrical solution for this problem already before 1640. During the last centuries this problem was rediscovered and generalized by many mathematicians, including Jacob Steiner. Nowadays the term 'Steiner prob lem' refers to a problem where a set of given points PI, . . . ,Pn have to be connected in such a way that (i) any two of the given points are joined and (ii) the total length (measured with respect to some predefined cost function) is minimized. 241 pp. Englisch. Seller Inventory # 9783528067625
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The Steiner Tree Problem : A Tour through Graphs, Algorithms, and Complexity
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'A very simple but instructive problem was treated by Jacob Steiner, the famous representative of geometry at the University of Berlin in the early nineteenth century. Three villages A,B ,C are to be joined by a system of roads of minimum length. ' Due to this remark of Courant and Robbins (1941), a problem received its name that actually reaches two hundred years further back and should more appropriately be attributed to the French mathematician Pierre Fermat. At the end of his famous treatise 'Minima and Maxima' he raised the question to find for three given points in the plane a fourth one in such a way that the sum of its distances to the given points is minimized - that is, to solve the problem mentioned above in its mathematical abstraction. It is known that Evangelista Torricelli had found a geometrical solution for this problem already before 1640. During the last centuries this problem was rediscovered and generalized by many mathematicians, including Jacob Steiner. Nowadays the term 'Steiner prob lem' refers to a problem where a set of given points PI, . . . ,Pn have to be connected in such a way that (i) any two of the given points are joined and (ii) the total length (measured with respect to some predefined cost function) is minimized. Seller Inventory # 9783528067625
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The Steiner Tree Problem : A Tour through Graphs, Algorithms, and Complexity
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 252 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 687556/202
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The Steiner Tree Problem: A Tour Through Graphs, Algorithms and Complexity (Advanced Lectures in Mathematics)
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ISBN 10: 3528067624
ISBN 13: 9783528067625
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Paperback. Condition: Brand New. 2002 edition. 249 pages. German language. 9.50x6.75x0.50 inches. In Stock. Seller Inventory # x-3528067624
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The Steiner Tree Problem
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Prof. Dr. Juergen Proemel ist am Institut fuer Informatik der Humboldt Universitaet zu Berlin taetig, Prof. Dr. Angelika Steger lehrt am Institut fuer Informatik der TU Muenchen.In recent years, algorithmic graph theory has become increasingly important as a l. Seller Inventory # 4866994
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