Some Topics in Graph Theory

Some Topics in Graph Theory PDF

Author: Hian Poh Yap

Publisher: Cambridge University Press

Published: 1986-07-17

Total Pages: 241

ISBN-13: 0521339448

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This book provides a rapid introduction to topics in graph theory typically covered in a graduate course. The author sets out the main recent results in several areas of current research in graph theory. Topics covered include edge-colourings, symmetries of graphs, packing of graphs, and computational complexity. Professor Yap is able to lead the reader to the forefront of research and to describe some of the open problems in the field. The choice of material presented has arisen from courses given at the National University of Singapore and each chapter contains numerous examples and exercises for the reader.

Topics in Algebraic Graph Theory

Topics in Algebraic Graph Theory PDF

Author: Lowell W. Beineke

Publisher: Cambridge University Press

Published: 2004-10-04

Total Pages: 302

ISBN-13: 9780521801973

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There is no other book with such a wide scope of both areas of algebraic graph theory.

Topics in Intersection Graph Theory

Topics in Intersection Graph Theory PDF

Author: Terry A. McKee

Publisher: SIAM

Published: 1999-01-01

Total Pages: 213

ISBN-13: 9780898719802

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Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.

Introduction to Graph Theory

Introduction to Graph Theory PDF

Author: Koh Khee Meng

Publisher: World Scientific Publishing Company

Published: 2007-03-15

Total Pages: 244

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.

Topics in Structural Graph Theory

Topics in Structural Graph Theory PDF

Author: Lowell W. Beineke

Publisher: Cambridge University Press

Published: 2012-11-08

Total Pages: 346

ISBN-13: 1107244307

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The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.

Topics in Topological Graph Theory

Topics in Topological Graph Theory PDF

Author: Lowell W. Beineke

Publisher: Cambridge University Press

Published: 2009-07-09

Total Pages: 366

ISBN-13: 9780521802307

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The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.

Topics in Graph Theory

Topics in Graph Theory PDF

Author: Wilfried Imrich

Publisher: CRC Press

Published: 2008-10-27

Total Pages: 219

ISBN-13: 1439865337

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From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,

Pearls in Graph Theory

Pearls in Graph Theory PDF

Author: Nora Hartsfield

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 272

ISBN-13: 0486315525

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Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.