Graph Coloring Problems
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| Author | : Tommy R. Jensen |
| Publisher | : John Wiley & Sons |
| Total Pages | : 320 |
| Release | : 2011-10-24 |
| Genre | : Mathematics |
| ISBN | : 1118030745 |
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 | : R.M.R. Lewis |
| Publisher | : Springer |
| Total Pages | : 256 |
| Release | : 2015-10-26 |
| Genre | : Computers |
| ISBN | : 3319257307 |
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 | : Marek Kubale |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 224 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 0821834584 |
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 | : Michael Molloy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 320 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 3642040160 |
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 | : Ping Zhang |
| Publisher | : Springer |
| Total Pages | : 130 |
| Release | : 2015-08-10 |
| Genre | : Mathematics |
| ISBN | : 3319203940 |
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 | : Leonid Barenboim |
| Publisher | : Morgan & Claypool Publishers |
| Total Pages | : 173 |
| Release | : 2013-07-01 |
| Genre | : Computers |
| ISBN | : 1627050191 |
The objective of our monograph is to cover the developments on the theoretical foundations of distributed symmetry breaking in the message-passing model. We hope that our monograph will stimulate further progress in this exciting area.
| Author | : Pierre Hansen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 168 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780821819555 |
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.
| Author | : Oscar Levin |
| Publisher | : Createspace Independent Publishing Platform |
| Total Pages | : 238 |
| Release | : 2018-07-30 |
| Genre | : |
| ISBN | : 9781724572639 |
Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
| Author | : Alexander Soifer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 619 |
| Release | : 2008-10-13 |
| Genre | : Mathematics |
| ISBN | : 0387746420 |
This book provides an exciting history of the discovery of Ramsey Theory, and contains new research along with rare photographs of the mathematicians who developed this theory, including Paul Erdös, B.L. van der Waerden, and Henry Baudet.
| Author | : Suresh Chandra Satapathy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 553 |
| Release | : 2013-10-05 |
| Genre | : Technology & Engineering |
| ISBN | : 3319029312 |
This volume contains the papers presented at the Second International Conference on Frontiers in Intelligent Computing: Theory and Applications (FICTA-2013) held during 14-16 November 2013 organized by Bhubaneswar Engineering College (BEC), Bhubaneswar, Odisha, India. It contains 63 papers focusing on application of intelligent techniques which includes evolutionary computation techniques like genetic algorithm, particle swarm optimization techniques, teaching-learning based optimization etc for various engineering applications such as data mining, Fuzzy systems, Machine Intelligence and ANN, Web technologies and Multimedia applications and Intelligent computing and Networking etc.
