graph theory as i have known it oxford lecture series in mathematics and its applications

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Graph Theory As I Have Known It

Author : W. T. Tutte
ISBN : 9780199660551
Genre : Mathematics
File Size : 65. 41 MB
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A unique introduction to graph theory, written by one of the founding fathers. Professor William Tutte, codebreaker and mathematician, details his experiences in the area and provides a fascinating insight into the processes leading to his proofs.

Graph Connections

Author : Lowell W. Beineke
ISBN : UCSD:31822032361404
Genre : Mathematics
File Size : 62. 83 MB
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The purpose of this book is to inform mathematicians about the applicability of graph theory to other areas of mathematics, from number theory, to linear algebra, knots, neural networks, and finance. This is achieved through a series of expository chapters, each devoted to a different field and written by an expert in that field. This book is more than a collection of essays however, in that the chapters have been carefully edited to ensure a common level of exposition, with terminology and notation standardized as far as possible. This book will be useful to professsional mathematicians and graduate students. It should also appeal to scientists working in other areas.

Graphs And Homomorphisms

Author : Pavol Hell
ISBN : 9780198528173
Genre : Mathematics
File Size : 78. 9 MB
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This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics.Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro).The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided.The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.


Author : Charles Semple
ISBN : 0198509421
Genre : Mathematics
File Size : 71. 4 MB
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Phylogenetic trees and networks are widely used throughout evolutionary biology, epidemiology, and ecology to infer the historical relationships between species through inherited characteristics. This work discusses the mathematics that underlies the reconstruction and analysis of these phylogenetic trees.

Fast Parallel Algorithms For Graph Matching Problems

Author : Marek Karpiński
ISBN : 0198501625
Genre : Computers
File Size : 84. 53 MB
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The matching problem is one of the central problems in graph theory as well as in the theory of algorithms and their applications. This book will provide the reader with a comprehensive and straightforward introduction to the basic methods of designing efficient parallel algorithms for graph matching problems. The text is written for students at the beginning graduate level. The exposition is mostly self-contained and example-driven. Prerequisites have been kept to a minimum by includingrelevant background material. The book contains full details of several new techniques and should also be of interest to research workers in computer science, operations research, discrete mathematics, and electrical engineering. The main theoretical tools are combined into three independent chapters, devoted to combinatorial tools, probabilistic tools, and algebraic tools. One of the main goals of the book is to bring together these three approaches and highlight how their combination worksin the development of efficient parallel algorithms. The reader will be provided with a simple and transparent presentation of a variety of interesting algorithms, including many examples and illustrations. The combination of different approaches makes the matching problem and its applications an attractive and fascinating subject. It is hoped that the book represents a meeting point of interesting algorithmic techniques and opens up new algebraic and geometric areas. Marek Karpinski is Chair Professor of Computer Science at the University of Bonn. Wojciech Rytter is Professor of Computer Science at the University of Warsaw and at the University of Liverpool.

Connections In Combinatorial Optimization

Author : András Frank
ISBN : 9780199205271
Genre : Mathematics
File Size : 57. 98 MB
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Filling the gap between introductory and encyclopedic treatments, this book provides rich and appealing material for a second course in combinatorial optimization. This book is suitable for graduate students as well as a reference for established researchers.

Invitation To Fixed Parameter Algorithms

Author : Rolf Niedermeier
ISBN : 0198566077
Genre : Mathematics
File Size : 86. 7 MB
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An application-oriented introduction to the highly topical area of the development and analysis of efficient fixed-parameter algorithms for hard problems. Aimed at graduate and research mathematicians, algorithm designers, and computer scientists, it provides a fresh view on this highly innovative field of algorithmic research.

Matroid Theory

Author : Joseph Edmond Bonin
ISBN : 9780821805084
Genre : Mathematics
File Size : 81. 25 MB
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This volume contains the proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory held at the University of Washington, Seattle. The book features three comprehensive surveys that bring the reader to the forefront of research in matroid theory. Joseph Kung's encyclopedic treatment of the critical problem traces the development of this problem from its origins through its numerous links with other branches of mathematics to the current status of its many aspects. James Oxley's survey of the role of connectivity and structure theorems in matroid theory stresses the influence of the Wheels and Whirls Theorem of Tutte and the Splitter Theorem of Seymour. Walter Whiteley's article unifies applications of matroid theory to constrained geometrical systems, including the rigidity of bar-and-joint frameworks, parallel drawings, and splines. These widely accessible articles contain many new results and directions for further research and applications. The surveys are complemented by selected short research papers. The volume concludes with a chapter of open problems. Features self-contained, accessible surveys of three active research areas in matroid theory; many new results; pointers to new research topics; a chapter of open problems; mathematical applications; and applications and connections to other disciplines, such as computer-aided design and electrical and structural engineering.

Invitation To Discrete Mathematics

Author : Ji%rí Matousek
ISBN : 9780198570431
Genre : Mathematics
File Size : 26. 90 MB
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Invitation to Discrete Mathematics is an introduction and a thoroughly comprehensive text at the same time. A lively and entertaining style with mathematical precision and maturity uniquely combine into an intellectual happening and should delight the interested reader. A master example of teaching contemporary discrete mathematics, and of teaching science in general.

Knots And Quantum Gravity

Author : John C. Baez
ISBN : UOM:39015032195037
Genre : Biography & Autobiography
File Size : 77. 80 MB
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This book is the first title in a new series from Oxford University Press; a series designed to make the most recent applied mathematics research more easily accessible to all professionals, postgraduates, and researchers pursuing a specific line of investigation. Recent work by mathematicians and physicists has uncovered surprising connections between knot theory and the problem of developing a quantum theory of gravity. This volume is the proceedings of a workshop held at the University of California at Riverside attended by many experts in this excitingarea of research. The purpose of the workshop was to bring together researchers in knot theory and quantum gravity and form more bridges between the two subjects. Most of the talks were given by researchers whose work has significance for both subjects. This volume contains expository papers as well as newresults, and should serve as a guide for mathematicians and physicists seeking to understand this rapidly developing area of research.

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