Graph Colorings PDF Download
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Author | : Marek Kubale |
Publisher | : American Mathematical Soc. |
Total Pages | : 224 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821834584 |
Download Graph Colorings Book in PDF, ePub and Kindle
Graph coloring is one of the oldest and best-known problems of graph theory. Statistics show that graph coloring is one of the central issues in the collection of several hundred classical combinatorial problems. This book covers the problems in graph coloring, which can be viewed as one area of discrete optimization.
Author | : R.M.R. Lewis |
Publisher | : Springer |
Total Pages | : 256 |
Release | : 2015-10-26 |
Genre | : Computers |
ISBN | : 3319257307 |
Download A Guide to Graph Colouring Book in PDF, ePub and Kindle
This book treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring arbitrary graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, and bounds and constructive algorithms. The author then shows how advanced, modern techniques can be applied to classic real-world operational research problems such as seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by a website with an online suite of downloadable code. The book will be of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.
Author | : Ping Zhang |
Publisher | : Springer |
Total Pages | : 130 |
Release | : 2015-08-10 |
Genre | : Mathematics |
ISBN | : 3319203940 |
Download Color-Induced Graph Colorings Book in PDF, ePub and Kindle
A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community.
Author | : Michael Molloy |
Publisher | : Springer Science & Business Media |
Total Pages | : 320 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3642040160 |
Download Graph Colouring and the Probabilistic Method Book in PDF, ePub and Kindle
Over the past decade, many major advances have been made in the field of graph coloring via the probabilistic method. This monograph, by two of the best on the topic, provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality.
Author | : Tommy R. Jensen |
Publisher | : John Wiley & Sons |
Total Pages | : 320 |
Release | : 2011-10-24 |
Genre | : Mathematics |
ISBN | : 1118030745 |
Download Graph Coloring Problems Book in PDF, ePub and Kindle
Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help avoid efforts on solving already settled problems. Each chapter concludes with a comprehensive list of references which will lead readers to original sources, important contributions and other surveys.
Author | : Ping Zhang |
Publisher | : Springer |
Total Pages | : 160 |
Release | : 2016-03-30 |
Genre | : Mathematics |
ISBN | : 3319305182 |
Download A Kaleidoscopic View of Graph Colorings Book in PDF, ePub and Kindle
This book describes kaleidoscopic topics that have developed in the area of graph colorings. Unifying current material on graph coloring, this book describes current information on vertex and edge colorings in graph theory, including harmonious colorings, majestic colorings, kaleidoscopic colorings and binomial colorings. Recently there have been a number of breakthroughs in vertex colorings that give rise to other colorings in a graph, such as graceful labelings of graphs that have been reconsidered under the language of colorings. The topics presented in this book include sample detailed proofs and illustrations, which depicts elements that are often overlooked. This book is ideal for graduate students and researchers in graph theory, as it covers a broad range of topics and makes connections between recent developments and well-known areas in graph theory.
Author | : Robert A. Wilson |
Publisher | : OUP Oxford |
Total Pages | : 153 |
Release | : 2002-01-24 |
Genre | : |
ISBN | : 019158360X |
Download Graphs, Colourings and the Four-Colour Theorem Book in PDF, ePub and Kindle
The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours. The book discusses various attempts to solve this problem, and some of the mathematics which developed out of these attempts. Much of this mathematics has developed a life of its own, and forms a fascinating part of the subject now known as graph theory. The book is designed to be self-contained, and develops all the graph-theoretical tools needed as it goes along. It includes all the elementary graph theory that should be included in an introduction to the subject, before concentrating on specific topics relevant to the four-colour problem. Part I covers basic graph theory, Euler's polyhedral formula, and the first published false `proof' of the four-colour theorem. Part II ranges widely through related topics, including map-colouring on surfaces with holes, the famous theorems of Kuratowski, Vizing, and Brooks, the conjectures of Hadwiger and Hajos, and much more besides. In Part III we return to the four-colour theorem, and study in detail the methods which finally cracked the problem.
Author | : Gary Chartrand |
Publisher | : CRC Press |
Total Pages | : 503 |
Release | : 2019-11-28 |
Genre | : Mathematics |
ISBN | : 0429798288 |
Download Chromatic Graph Theory Book in PDF, ePub and Kindle
With Chromatic Graph Theory, Second Edition, the authors present various fundamentals of graph theory that lie outside of graph colorings, including basic terminology and results, trees and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. Readers will see that the authors accomplished the primary goal of this textbook, which is to introduce graph theory with a coloring theme and to look at graph colorings in various ways. The textbook also covers vertex colorings and bounds for the chromatic number, vertex colorings of graphs embedded on surfaces, and a variety of restricted vertex colorings. The authors also describe edge colorings, monochromatic and rainbow edge colorings, complete vertex colorings, several distinguishing vertex and edge colorings. Features of the Second Edition: The book can be used for a first course in graph theory as well as a graduate course The primary topic in the book is graph coloring The book begins with an introduction to graph theory so assumes no previous course The authors are the most widely-published team on graph theory Many new examples and exercises enhance the new edition
Author | : Hian Poh Yap |
Publisher | : Springer |
Total Pages | : 140 |
Release | : 2006-11-13 |
Genre | : Mathematics |
ISBN | : 3540493018 |
Download Total Colourings of Graphs Book in PDF, ePub and Kindle
This book provides an up-to-date and rapid introduction to an important and currently active topic in graph theory. The author leads the reader to the forefront of research in this area. Complete and easily readable proofs of all the main theorems, together with numerous examples, exercises and open problems are given. The book is suitable for use as a textbook or as seminar material for advanced undergraduate and graduate students. The references are comprehensive and so it will also be useful for researchers as a handbook.
Author | : Pierre Hansen |
Publisher | : American Mathematical Soc. |
Total Pages | : 168 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780821819555 |
Download Graph Colouring and Applications Book in PDF, ePub and Kindle
This volume presents the proceedings of the CRM workshop on graph coloring and applications. The articles span a wide spectrum of topics related to graph coloring, including: list-colorings, total colorings, colorings and embeddings of graphs, chromatic polynomials, characteristic polynomials, chromatic scheduling, and graph coloring problems related to frequency assignment. Outstanding researchers in combinatorial optimization and graph theory contributed their work. A list of open problems is included.