Complexity Theory: Exploring the Limits of Efficient Algorithms

Author:   Ingo Wegener ,  R. Pruim
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   Softcover reprint of hardcover 1st ed. 2005
ISBN:  

9783642059148


Pages:   308
Publication Date:   13 October 2010
Format:   Paperback
Availability:   In Print   Availability explained
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Complexity Theory: Exploring the Limits of Efficient Algorithms


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Author:   Ingo Wegener ,  R. Pruim
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2005
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.492kg
ISBN:  

9783642059148


ISBN 10:   3642059147
Pages:   308
Publication Date:   13 October 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.
Language:   English

Table of Contents

Algorithmic Problems & Their Complexity.- Fundamental Complexity Classes.- Reductions — Algorithmic Relationships Between Problems.- The Theory of NP-Completeness.- NP-complete and NP-equivalent Problems.- The Complexity Analysis of Problems.- The Complexity of Approximation Problems — Classical Results.- The Complexity of Black Box Problems.- Additional Complexity Classes and Relationships Between Complexity Classes.- Interactive Proofs.- The PCP Theorem and the Complexity of Approximation Problems.- Further Topics From Classical Complexity Theory.- The Complexity of Non-uniform Problems.- Communication Complexity.- The Complexity of Boolean Functions.

Reviews

From the reviews: This book should be important and useful for students of computer science as an introduction to complexity theory with an emphasis on randomized and approximation algorithms ... . It contains 16 chapters and extends from the foundations of modern complexity theory to recent developments with implications for concrete applications. ... The text is well written ... and the translation is successful. (Gerhard Lischke, Mathematical Reviews, Issue 2006 j) Complexity theory is an extremely important and vivid field on the border of mathematics and computer science. ... Ingo Wegener certainly created an appealing, well-written book that is a definite choice for the specialists and lecturers when an undergraduate or graduate student asks for guidance into this challenging new field of mathematics. (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 71, 2005)


From the reviews: ""This book should be important and useful for students of computer science as an introduction to complexity theory with an emphasis on randomized and approximation algorithms … . It contains 16 chapters and extends from the foundations of modern complexity theory to recent developments with implications for concrete applications. … The text is well written … and the translation is successful."" (Gerhard Lischke, Mathematical Reviews, Issue 2006 j) ""Complexity theory is an extremely important and vivid field on the border of mathematics and computer science. … Ingo Wegener certainly created an appealing, well-written book that is a definite choice for the specialists and lecturers when an undergraduate or graduate student asks for guidance into this challenging new field of mathematics."" (Péter Hajnal, Acta Scientiarum Mathematicarum, Vol. 71, 2005)


From the reviews: This book should be important and useful for students of computer science as an introduction to complexity theory with an emphasis on randomized and approximation algorithms ... . It contains 16 chapters and extends from the foundations of modern complexity theory to recent developments with implications for concrete applications. ... The text is well written ... and the translation is successful. (Gerhard Lischke, Mathematical Reviews, Issue 2006 j) Complexity theory is an extremely important and vivid field on the border of mathematics and computer science. ... Ingo Wegener certainly created an appealing, well-written book that is a definite choice for the specialists and lecturers when an undergraduate or graduate student asks for guidance into this challenging new field of mathematics. (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 71, 2005)


From the reviews: This book should be important and useful for students of computer science as an introduction to complexity theory with an emphasis on randomized and approximation algorithms ! . It contains 16 chapters and extends from the foundations of modern complexity theory to recent developments with implications for concrete applications. ! The text is well written ! and the translation is successful. (Gerhard Lischke, Mathematical Reviews, Issue 2006 j) Complexity theory is an extremely important and vivid field on the border of mathematics and computer science. ! Ingo Wegener certainly created an appealing, well-written book that is a definite choice for the specialists and lecturers when an undergraduate or graduate student asks for guidance into this challenging new field of mathematics. (Peter Hajnal, Acta Scientiarum Mathematicarum, Vol. 71, 2005)


Author Information

The author is a full professor at the Computer Science Department of Dortmund University. He is the author of 8 monographs and more than 150 journal and conference articles. He was head of the German youth competition in computer science and has obtained the university medal for excellent teaching. He is an elected member of the German Academy of Sciences and was head of the committee reviewing computer research projects in Germany.

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