Graph Coloring Problems

Graph Coloring Problems PDF Author: Tommy R. Jensen
Publisher: John Wiley & Sons
ISBN: 1118030745
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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.

Graph Coloring Problems

Graph Coloring Problems PDF Author: Tommy R. Jensen
Publisher: John Wiley & Sons
ISBN: 1118030745
Category : Mathematics
Languages : en
Pages : 320

Get Book Here

Book Description
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.

Graph Coloring Problems

Graph Coloring Problems PDF Author: Tommy R. Jensen
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 328

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Book Description
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.

A Guide to Graph Colouring

A Guide to Graph Colouring PDF Author: R.M.R. Lewis
Publisher: Springer
ISBN: 3319257307
Category : Computers
Languages : en
Pages : 256

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Book Description
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.

Graph Colorings

Graph Colorings PDF Author: Marek Kubale
Publisher: American Mathematical Soc.
ISBN: 0821834584
Category : Mathematics
Languages : en
Pages : 224

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Book Description
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.

Color-Induced Graph Colorings

Color-Induced Graph Colorings PDF Author: Ping Zhang
Publisher: Springer
ISBN: 3319203940
Category : Mathematics
Languages : en
Pages : 130

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Book Description
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.

Distributed Graph Coloring

Distributed Graph Coloring PDF Author: Leonid Barenboim
Publisher: Morgan & Claypool Publishers
ISBN: 1627050191
Category : Computers
Languages : en
Pages : 173

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Book Description
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.

Topics in Chromatic Graph Theory

Topics in Chromatic Graph Theory PDF Author: Lowell W. Beineke
Publisher: Cambridge University Press
ISBN: 1316239853
Category : Mathematics
Languages : en
Pages : 416

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Book Description
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.

The Mathematical Coloring Book

The Mathematical Coloring Book PDF Author: Alexander Soifer
Publisher: Springer Science & Business Media
ISBN: 0387746420
Category : Mathematics
Languages : en
Pages : 619

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Book Description
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.

Graph Colouring and the Probabilistic Method

Graph Colouring and the Probabilistic Method PDF Author: Michael Molloy
Publisher: Springer Science & Business Media
ISBN: 3642040160
Category : Mathematics
Languages : en
Pages : 320

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Book Description
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.

Proceedings of the International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2013

Proceedings of the International Conference on Frontiers of Intelligent Computing: Theory and Applications (FICTA) 2013 PDF Author: Suresh Chandra Satapathy
Publisher: Springer Science & Business Media
ISBN: 3319029312
Category : Technology & Engineering
Languages : en
Pages : 553

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Book Description
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.