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 : 50. 32 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.


Author : Charles Semple
ISBN : 0198509421
Genre : Mathematics
File Size : 29. 77 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.

Graphs And Homomorphisms

Author : Pavol Hell
ISBN : 9780198528173
Genre : Mathematics
File Size : 44. 45 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.

Graph Theory As I Have Know It

Author : William Thomas Tutte
ISBN : OCLC:909198022
Genre :
File Size : 28. 89 MB
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Graph Connections

Author : Lowell W. Beineke
ISBN : UCSD:31822032361404
Genre : Mathematics
File Size : 73. 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.

Coding Theory And Cryptography

Author : David Joyner
ISBN : 9783642596636
Genre : Mathematics
File Size : 51. 82 MB
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Algorithms On Trees And Graphs

Author : Gabriel Valiente
ISBN : 3540435506
Genre : Computers
File Size : 22. 12 MB
Format : PDF, Kindle
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Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, such as approximation, combinatorial optimization, graphics, and operations research, graph algorithms have recently attracted increased attention from computational molecular biology and computational chemistry. Centered around the fundamental issue of graph isomorphism, this text goes beyond classical graph problems of shortest paths, spanning trees, flows in networks, and matchings in bipartite graphs. Advanced algorithmic results and techniques of practical relevance are presented in a coherent and consolidated way. This book introduces graph algorithms on an intuitive basis followed by a detailed exposition in a literate programming style, with correctness proofs as well as worst-case analyses. Furthermore, full C++ implementations of all algorithms presented are given using the LEDA library of efficient data structures and algorithms.

Connections In Combinatorial Optimization

Author : András Frank
ISBN : 9780199205271
Genre : Mathematics
File Size : 43. 1 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 : 85. 21 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 : 41. 51 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.

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