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The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity (Advanced Lectures in Mathematics) - Softcover

 
9783528067625: The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity (Advanced Lectures in Mathematics)

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.

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Review

"The book is a very good introduction to discrete mathematics in relation to computer science, and a useful reference for those who are interested in network optimization problems." Zentralblatt MATH, Nr. 17/02

"This book is an excellent introduction to the Steiner tree problems, which starts with network Steiner trees an ends with geometric Steiner trees." Mathematical Reviews, Nr. 11/02

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Discrete mathematics in relation to computer science

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  • PublisherVieweg+Teubner Verlag
  • Publication date2002
  • ISBN 10 3528067624
  • ISBN 13 9783528067625
  • BindingPaperback
  • LanguageEnglish
  • Number of pages249

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241 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. so7928 9783528067625 Sprache: Englisch Gewicht in Gramm: 900. Seller Inventory # 2347626

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Softcover. 1. ed. VIII, 241 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04432 9783528067625 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2490667

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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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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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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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