Some Topics In Graph Theory
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| Author | : Hian Poh Yap |
| Publisher | : Cambridge University Press |
| Total Pages | : 241 |
| Release | : 1986-07-17 |
| Genre | : Mathematics |
| ISBN | : 0521339448 |
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.
| Author | : Terry A. McKee |
| Publisher | : SIAM |
| Total Pages | : 213 |
| Release | : 1999-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719802 |
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.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 302 |
| Release | : 2004-10-04 |
| Genre | : Mathematics |
| ISBN | : 9780521801973 |
There is no other book with such a wide scope of both areas of algebraic graph theory.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 387 |
| Release | : 2009-07-09 |
| Genre | : Mathematics |
| ISBN | : 1139643681 |
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.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 400 |
| Release | : 2021-06-03 |
| Genre | : Mathematics |
| ISBN | : 1108671071 |
Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.
| Author | : Wilfried Imrich |
| Publisher | : CRC Press |
| Total Pages | : 219 |
| Release | : 2008-10-27 |
| Genre | : Mathematics |
| ISBN | : 1439865337 |
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,
| Author | : Vadim Zverovich |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 309 |
| Release | : 2019-06-24 |
| Genre | : Mathematics |
| ISBN | : 1527536289 |
This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 416 |
| Release | : 2015-05-07 |
| Genre | : Mathematics |
| ISBN | : 1316239853 |
Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 346 |
| Release | : 2012-11-08 |
| Genre | : Mathematics |
| ISBN | : 1107244307 |
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.
| Author | : Arthur Benjamin |
| Publisher | : Princeton University Press |
| Total Pages | : 338 |
| Release | : 2017-06-06 |
| Genre | : Mathematics |
| ISBN | : 0691175632 |
The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
