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Digraphs
Theory, Algorithms and Applications
Buch von Gregory Z. Gutin (u. a.)
Sprache: Englisch

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Beschreibung
Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems.

As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem.

Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.
Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems.

As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem.

Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.
Zusammenfassung

First book devoted to directed graphs

Includes applications and numerous examples

Includes many exercises

New edition features the developments over the last six years and contains a large number of open problems with sufficient background information to allow researchers to attack these problems

Includes supplementary material: [...]

Inhaltsverzeichnis
Basic Terminology, Notation and Results.- Classes of Digraphs.- Distances.- Flows in Networks.- Connectivity of Digraphs.- Hamiltonian, Longest and Vertex-Cheapest Paths and Cycles.- Restricted Hamiltonian Paths and Cycles.- Paths and Cycles of Prescribed Lengths.- Branchings.- Linkages in Digraphs.- Orientations of Graphs and Digraphs.- Sparse Subdigraphs with Prescribed Connectivity.- Packings, Coverings and Decompositions.- Increasing Connectivity.- Feedback Sets and Vertex Orderings.- Generalizations of Digraphs: Edge-Coloured Multigraphs.- Applications of Digraphs and Edge-Coloured Graphs.- Algorithms and Their Complexity.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Monographs in Mathematics
Inhalt: xxii
795 S.
ISBN-13: 9781848009974
ISBN-10: 1848009976
Sprache: Englisch
Herstellernummer: 12257430
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gutin, Gregory Z.
Bang-Jensen, Jørgen
Auflage: 2nd ed. 2009
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Monographs in Mathematics
Maße: 241 x 160 x 50 mm
Von/Mit: Gregory Z. Gutin (u. a.)
Erscheinungsdatum: 03.02.2009
Gewicht: 1,379 kg
Artikel-ID: 101713962
Zusammenfassung

First book devoted to directed graphs

Includes applications and numerous examples

Includes many exercises

New edition features the developments over the last six years and contains a large number of open problems with sufficient background information to allow researchers to attack these problems

Includes supplementary material: [...]

Inhaltsverzeichnis
Basic Terminology, Notation and Results.- Classes of Digraphs.- Distances.- Flows in Networks.- Connectivity of Digraphs.- Hamiltonian, Longest and Vertex-Cheapest Paths and Cycles.- Restricted Hamiltonian Paths and Cycles.- Paths and Cycles of Prescribed Lengths.- Branchings.- Linkages in Digraphs.- Orientations of Graphs and Digraphs.- Sparse Subdigraphs with Prescribed Connectivity.- Packings, Coverings and Decompositions.- Increasing Connectivity.- Feedback Sets and Vertex Orderings.- Generalizations of Digraphs: Edge-Coloured Multigraphs.- Applications of Digraphs and Edge-Coloured Graphs.- Algorithms and Their Complexity.
Details
Erscheinungsjahr: 2009
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Springer Monographs in Mathematics
Inhalt: xxii
795 S.
ISBN-13: 9781848009974
ISBN-10: 1848009976
Sprache: Englisch
Herstellernummer: 12257430
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Gutin, Gregory Z.
Bang-Jensen, Jørgen
Auflage: 2nd ed. 2009
Hersteller: Springer London
Springer-Verlag London Ltd.
Springer Monographs in Mathematics
Maße: 241 x 160 x 50 mm
Von/Mit: Gregory Z. Gutin (u. a.)
Erscheinungsdatum: 03.02.2009
Gewicht: 1,379 kg
Artikel-ID: 101713962
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