Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics) 🔍
Dieter Jungnickel (auth.)
Springer-Verlag Berlin Heidelberg, Algorithms and Computation in Mathematics, Algorithms and Computation in Mathematics 5, 2005
英语 [en] · PDF · 6.3MB · 2005 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
From the reviews of the first edition:
".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..."
Mathematical Reviews 2002
This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced.
".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..."
Mathematical Reviews 2002
This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced.
备用文件名
lgrsnf/A:\compressed\10.1007%2Fb138283.pdf
备用文件名
nexusstc/Graphs, Networks and Algorithms/92744bfe625e63c6b83735b5470125f8.pdf
备用文件名
scihub/10.1007/b138283.pdf
备用文件名
zlib/Computers/Algorithms and Data Structures/Jungnickel, Dieter/Graphs, Networks and Algorithms (Algorithms and Computation in Mathematics)_2100459.pdf
备选标题
Graphs, networks, and algorithms Second Edition
备选作者
Dieter Jungnickel,Springer
备选作者
Jungnickel, Dieter
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
Springer London, Limited
备用版本
Algorithms and computation in mathematics, Vol. 5, 2. ed, Berlin, 2005
备用版本
Algorithms and computation in mathematics, v. 5, 2nd ed, Berlin, ©2005
备用版本
Algorithms and computation in mathematics, 2nd rev. ed, Berlin, ©2005
备用版本
Algorithms and Computation in Mathematics, 2nd ed, New York, 2005
备用版本
Algorithms and Computation in Mathematics 5, 2nd, 2004
备用版本
2nd ed. edition, November 29, 2004
备用版本
Germany, Germany
备用版本
2006
元数据中的注释
lg946571
元数据中的注释
{"container_title":"Algorithms and Computation in Mathematics","isbns":["3540219056","3540269088","9783540219057","9783540269083"],"publisher":"Springer","series":"Algorithms and Computation in Mathematics 5"}
备用描述
<p><p>from Reviews Of The Previous Editions <p>“.... The Book Is A First Class Textbook And Seems To Be Indispensable For Everybody Who Has To Teach Combinatorial Optimization. It Is Very Helpful For Students, Teachers, And Researchers In This Area. The Author Finds A Striking Synthesis Of Nice And Interesting Mathematical Results And Practical Applications. ... The Author Pays Much Attention To The Inclusion Of Well-chosen Exercises. The Reader Does Not Remain Helpless; Solutions Or At Least Hints Are Given In The Appendix. Except For Some Small Basic Mathematical And Algorithmic Knowledge The Book Is Self-contained. ...” (k. Engel, Mathematical Reviews (2002) <p>“the Substantial Development Effort Of This Text, Involving Multiple Editions And Trailing In The Context Of Various Workshops, University Courses And Seminar Series, Clearly Shows Through In This New Edition With Its Clear Writing, Good Organisation, Comprehensive Coverage Of Essential Theory, And Well-chosen Applications. The Proofs Of Important Results And The Representation Of Key Algorithms In A Pascal-like Notation Allow This Book To Be Used In A High-level Undergraduate Or Low-level Graduate Course On Graph Theory, Combinatorial Optimization Or Computer Science Algorithms. The Well-worked Solutions To Exercises Are A Real Bonus For Self Study By Students. The Book Is Highly Recommended.” (p.b. Gibbons, Zentralblatt Für Mathematik 1061, 2005)<p>the Third Edition Of This Standard Textbook Contains Additional Material: Two New Application Sections (on Graphical Codes And Their Decoding) And About Two Dozen Further Exercises (with Solutions, As Throughout The Text). Moreover, Recent Developments Have Been Discussed And Referenced, In Particular For The Travelling Salesman Problem. The Presentation Has Been Improved In Many Places (for Instance, In The Chapters On Shortest Paths And On Colorings), And A Number Of Proofs Have Been Reorganized, Making Them More Precise Or More Transparent.</p>
备用描述
From the reviews of the previous editions
".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..." K.Engel, Mathematical Reviews 2002
The substantial development effort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons, Zentralblatt für Mathematik 2005
Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-completeness (especially on dominating sets), a section on the Gallai-Edmonds structure theory for matchings, and about a dozen additional exercises – as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the more general Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added.
".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..." K.Engel, Mathematical Reviews 2002
The substantial development effort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons, Zentralblatt für Mathematik 2005
Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-completeness (especially on dominating sets), a section on the Gallai-Edmonds structure theory for matchings, and about a dozen additional exercises – as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the more general Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added.
备用描述
From the reviews of the first edition: ".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..." Mathematical Reviews 2002 This thoroughly revised new edition offers a newchapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced. TOC:Preface.- Basic Graph Theory.- Algorithms and Complexity.- Shortests Paths.- Spanning Trees.- The Greedy Algorithm.- Flows.- Combinatorial Applications.- Connectivity and Depth First Search.- Colorings.- Circulations.- The Network Simplex Algorithm.- Matchings.- Weighted Matchings.- A Hard Problem: The TSP.- Appendix A: Solutions.- Appendix B: List of Symbols.- References.- Index
备用描述
Basic Graph Theory....Pages 1-31
Algorithms and Complexity....Pages 33-58
Shortest Paths....Pages 59-93
Spanning Trees....Pages 95-122
The Greedy Algorithm....Pages 123-146
Flows....Pages 147-200
Combinatorial Applications....Pages 201-229
Connectivity and Depth First Search....Pages 231-252
Colorings....Pages 253-269
Circulations....Pages 271-320
The Network Simplex Algorithm....Pages 321-339
Synthesis of Networks....Pages 341-365
Matchings....Pages 367-397
Weighted matchings....Pages 399-432
A Hard Problem: The TSP....Pages 433-474
Algorithms and Complexity....Pages 33-58
Shortest Paths....Pages 59-93
Spanning Trees....Pages 95-122
The Greedy Algorithm....Pages 123-146
Flows....Pages 147-200
Combinatorial Applications....Pages 201-229
Connectivity and Depth First Search....Pages 231-252
Colorings....Pages 253-269
Circulations....Pages 271-320
The Network Simplex Algorithm....Pages 321-339
Synthesis of Networks....Pages 341-365
Matchings....Pages 367-397
Weighted matchings....Pages 399-432
A Hard Problem: The TSP....Pages 433-474
备用描述
"This thoroughly revised new edition offers a new chapter on the network simplex algorithm and a section on the five color theorem. Moreover, numerous smaller changes and corrections have been made and several recent developments have been discussed and referenced."--Jacket
备用描述
A graph G is a pair G = (V, E) consisting of a finite set V 0 and a set E of two-element subsets of V.
备用描述
From the reviews of the first edition:
__Mathematical Reviews 2002__
__Mathematical Reviews 2002__
开源日期
2013-08-01
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