The Steiner Tree Problem: A Tour through Graphs, Algorithms, and Complexity

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 specif... Ausführliche Beschreibung

1. Person: Prömel, Hans Jürgen
Weitere Körperschaften: SpringerLink (Online service)
Weitere Personen: Steger, Angelika [author]
Format: E-Buch
Sprache: English
Veröffentlicht: Wiesbaden Vieweg+Teubner Verlag 2002, 2002
Beschreibung: VIII, 241 p. 2 illus online resource
Ausgabe: 1st ed. 2002
Serien: Advanced Lectures in Mathematics
Schlagworte: Approximations and Expansions
Functions of complex variables
Algebra
Algebra
Approximation theory
Functions of a Complex Variable
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Zusammenfassung: 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
ISBN: 9783322802910

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