Graph Theory As I Have Known It

Graph Theory As I Have Known It PDF Author: W. T. Tutte
Publisher: Clarendon Press
ISBN: 0191637785
Category : Mathematics
Languages : en
Pages : 164

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Book Description
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.

Graph Theory As I Have Known It

Graph Theory As I Have Known It PDF Author: W. T. Tutte
Publisher: Clarendon Press
ISBN: 0191637785
Category : Mathematics
Languages : en
Pages : 164

Get Book Here

Book Description
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.

Graph Theory As I Have Known It

Graph Theory As I Have Known It PDF Author: W. T. Tutte
Publisher: Oxford University Press
ISBN: 0199660557
Category : Mathematics
Languages : en
Pages : 166

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Book Description
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 Theory as I Have Known it

Graph Theory as I Have Known it PDF Author: W. T. Tutte
Publisher: Oxford University Press
ISBN: 0198502516
Category : Mathematics
Languages : en
Pages : 165

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Book Description
William Tutte, one of the founders of modern graph theory, provides a unique and personal introduction to the field. Instead of a typical survey, the author looks back at the areas which interested him most, discussing why he pursued certain problems and how he and his colleagues solved them. The book's extensive references make it a useful starting point for research as well as an important document for anyone interested in the history of graph theory. The author begins with the problems he worked on as an undergraduate at Cambridge and goes on to cover subjects such as combinatorial problems in chess, algebra in graph theory, reconstruction of graphs, symmetry in graphs, and the chromatic eigenvalues. In each case he mixes fascinating historical and biographical information with engaging descriptions of important results.

Mathematics for Computer Science

Mathematics for Computer Science PDF Author: Eric Lehman
Publisher:
ISBN: 9789888407064
Category : Business & Economics
Languages : en
Pages : 988

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Book Description
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

A Seminar on Graph Theory

A Seminar on Graph Theory PDF Author: Frank Harary
Publisher: Courier Dover Publications
ISBN: 0486796841
Category : Mathematics
Languages : en
Pages : 129

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Book Description
Lectures given in F. Harary's seminar course, University College of London, Dept. of Mathematics, 1962-1963.

Graph Theory

Graph Theory PDF Author: Bela Bollobas
Publisher: Springer Science & Business Media
ISBN: 1461299675
Category : Mathematics
Languages : en
Pages : 191

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Book Description
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry PDF Author: Roger Penrose
Publisher: Cambridge University Press
ISBN: 9780521347860
Category : Mathematics
Languages : en
Pages : 516

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Book Description
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.

Spectral Graph Theory

Spectral Graph Theory PDF Author: Fan R. K. Chung
Publisher: American Mathematical Soc.
ISBN: 0821803158
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This text discusses spectral graph theory.

Lectures on Graph Theory

Lectures on Graph Theory PDF Author: Claude Berge
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 118

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Book Description


Graph Theory

Graph Theory PDF Author: Frank Harary
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 286

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Book Description