Graph Theory As I Have Known It
Graph Theory As I Have Known It

Author: W. T. Tutte

Publisher: Clarendon Press

Published: 2012-05-24

Total Pages: 164

ISBN-13: 0191637785

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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.

Spectral Graph Theory
Spectral Graph Theory

Author: Fan R. K. Chung

Publisher: American Mathematical Soc.

Published: 1997

Total Pages: 228

ISBN-13: 0821803158

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This text discusses spectral graph theory.

Algebraic Graph Theory
Algebraic Graph Theory

Author: Chris Godsil

Publisher: Springer Science & Business Media

Published: 2013-12-01

Total Pages: 453

ISBN-13: 1461301637

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This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.

Lecture Notes on Graph Theory
Lecture Notes on Graph Theory

Author: Sudev Naduvath

Publisher: Centre for Studies in Discrete Mathematics, Thrissur, India.

Published: 2017-12-08

Total Pages: 177

ISBN-13: 9352911474

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The book is based on the syllabus of Computer Science and Engineering Programme under APJ Abdul Kalam Technological University, Kerala.

Graph Theory
Graph Theory

Author: Bela Bollobas

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 191

ISBN-13: 1461299675

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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

Dynamical Systems, Graphs, and Algorithms
Dynamical Systems, Graphs, and Algorithms

Author: George Osipenko

Publisher: Springer

Published: 2006-10-28

Total Pages: 286

ISBN-13: 3540355952

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This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.

Graphs
Graphs

Author: K. Thulasiraman

Publisher: John Wiley & Sons

Published: 2011-03-29

Total Pages: 480

ISBN-13: 1118030257

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This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.

Graph-Theoretic Concepts in Computer Science
Graph-Theoretic Concepts in Computer Science

Author: Christophe Paul

Publisher: Springer

Published: 2009-12-03

Total Pages: 364

ISBN-13: 3642114091

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The 35th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2009) took place at Montpellier (France), June 24–26 2009. About 80 computer scientists from all over the world (Australia, Belgium, Canada, China, Czech Republic, France, Germany, Greece, Israel, Japan, Korea, The Netherlands, Norway, Spain, UK, USA) attended the conference. Since1975,ithastakenplace20timesinGermany,fourtimesinTheNeth- lands, twice in Austria, as well as once in Italy, Slovakia, Switzerland, the Czech Republic, France, Norway, and the UK. The conference aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in computer science, or by extracting new problems from appli- tions. The goal is to present recent research results and to identify and explore directions of future research. The conference is well-balanced with respect to established researchers and young scientists. There were 69 submissions. Each submission was reviewed by at least three, and on average four, Program Committee members. The Committee decided to accept 28 papers. Due to the competition and the limited schedule, some good papers could not be accepted. Theprogramalsoincludedexcellentinvitedtalks:onegivenbyDanielKràlon “AlgorithmsforClassesofGraphswithBoundedExpansion,” the otherbyDavid Eppsteinon“Graph-TheoreticSolutionstoComputationalGeometryProblems.” The proceedings contains two survey papers on these topics.

Introduction To Graph Theory: H3 Mathematics
Introduction To Graph Theory: H3 Mathematics

Author: Khee-meng Koh

Publisher: World Scientific Publishing Company

Published: 2007-03-15

Total Pages: 245

ISBN-13: 9813101636

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Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college.The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.