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Author: Adrian Bondy
Publisher: Springer Science & Business Media
ISBN: 3764374004
Category : Mathematics
Languages : en
Pages : 387
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Book Description
In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.
Author: Adrian Bondy
Publisher: Springer Science & Business Media
ISBN: 3764374004
Category : Mathematics
Languages : en
Pages : 387
Get Book Here
Book Description
In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.
Author: Adrian Bondy
Publisher: Birkhauser
ISBN: 9783764372286
Category : Business & Economics
Languages : en
Pages : 389
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Book Description
In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.
Author: Michael Molloy
Publisher: Springer Science & Business Media
ISBN: 3642040160
Category : Mathematics
Languages : en
Pages : 320
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Book Description
Over the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.
Author: Lowell W. Beineke
Publisher: Cambridge University Press
ISBN: 1316239853
Category : Mathematics
Languages : en
Pages : 416
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Book Description
Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
Author: Michel Gondran
Publisher: Springer Science & Business Media
ISBN: 0387754504
Category : Business & Economics
Languages : en
Pages : 401
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Book Description
The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.
Author: Edward R. Scheinerman
Publisher: Courier Corporation
ISBN: 0486292134
Category : Mathematics
Languages : en
Pages : 242
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Book Description
This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.
Author: Jean-Claude Fournier
Publisher: John Wiley & Sons
ISBN: 1118623096
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This book provides a comprehensive and pedagogical introduction to graph theory and its applications. It contains all the standard basic material and develops significant topics and applications, such as: colorings and the timetabling problem, matchings and the optimal assignment problem, and Hamiltonian cycles and the travelling salesman problem, to name but a few. Exercises at various levels are given at the end of each chapter, and a final chapter presents a few general problems with hints for solutions, thus providing the reader with the opportunity to test and refine their knowledge on the subject. An appendix outlines the basis of computational complexity theory, in particular the definition of NP-completeness, which is essential for algorithmic applications.
Author: Mark R.T. Dale
Publisher: Cambridge University Press
ISBN: 110708931X
Category : Mathematics
Languages : en
Pages : 355
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Book Description
This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.
Author: John Adrian Bondy
Publisher: London : Macmillan Press
ISBN:
Category : Mathematics
Languages : en
Pages : 290
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Book Description
Author: Jaroslav Nešetřil
Publisher: Springer Science & Business Media
ISBN: 3642278752
Category : Mathematics
Languages : en
Pages : 472
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Book Description
This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at ICM 2010.
