Exact Exponential Algorithms

Language: English

Published by Springer, Springer Gabler Dez 2012, 2012

3642265669 / 9783642265662

Series: Book 32 of 45 - Texts in Theoretical Computer Science. An EATCS

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This item is printed on demand - Print on Demand Titel. Neuware -For a long time computer scientists have distinguished between fast and slow algo rithms. Fast (or good) algorithms are the algorithms that run in polynomial time, which means that the number of steps required for the algorithm to solve a problem is bounded by some polynomial in the length of the input. All other algorithms are slow (or bad). The running time of slow algorithms is usually exponential. This book is about bad algorithms. There are several reasons why we are interested in exponential time algorithms. Most of us believe that there are many natural problems which cannot be solved by polynomial time algorithms. The most famous and oldest family of hard problems is the family of NP complete problems. Most likely there are no polynomial time al gorithms solving these hard problems and in the worst case scenario the exponential running time is unavoidable. Every combinatorial problem is solvable in nite time by enumerating all possi ble solutions, i. e. by brute force search. But is brute force search always unavoid able De nitely not. Already in the nineteen sixties and seventies it was known that some NP complete problems can be solved signi cantly faster than by brute force search. Three classic examples are the following algorithms for the TRAVELLING SALESMAN problem, MAXIMUM INDEPENDENT SET, and COLORING.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 220 pp. Englisch.

Seller Inventory # 9783642265662

Title
Exact Exponential Algorithms
Author
Fedor V. Fomin
Publisher
Springer, Springer Gabler Dez 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642265669
ISBN 13
9783642265662
Item weight
341 grams
Dimensions
235x155x13 mm
Series
Book 32 of 45: Texts in Theoretical Computer Science. An EATCS

buchversandmimpf2000

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