Graph Colorings PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Graph Colorings PDF full book. Access full book title Graph Colorings by Marek Kubale. Download full books in PDF and EPUB format.
Author: Marek Kubale
Publisher: American Mathematical Soc.
ISBN: 0821834584
Category : Mathematics
Languages : en
Pages : 224
Get Book Here
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.
Author: Marek Kubale
Publisher: American Mathematical Soc.
ISBN: 0821834584
Category : Mathematics
Languages : en
Pages : 224
Get Book Here
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.
Author: Ping Zhang
Publisher: Springer
ISBN: 3319203940
Category : Mathematics
Languages : en
Pages : 130
Get Book Here
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.
Author: Michael Molloy
Publisher: Springer Science & Business Media
ISBN: 3642040160
Category : Mathematics
Languages : en
Pages : 320
Get Book Here
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.
Author: R.M.R. Lewis
Publisher: Springer
ISBN: 3319257307
Category : Computers
Languages : en
Pages : 256
Get Book Here
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.
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.
Author: Ping Zhang
Publisher: Springer
ISBN: 3319305182
Category : Mathematics
Languages : en
Pages : 160
Get Book Here
Book Description
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: Alexander Soifer
Publisher: Springer Science & Business Media
ISBN: 0387746420
Category : Mathematics
Languages : en
Pages : 619
Get Book Here
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.
Author: Hian Poh Yap
Publisher: Springer
ISBN: 3540493018
Category : Mathematics
Languages : en
Pages : 140
Get Book Here
Book Description
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: Leonid Barenboim
Publisher: Morgan & Claypool Publishers
ISBN: 1627050191
Category : Computers
Languages : en
Pages : 173
Get Book Here
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.
Author: Robert A. Wilson
Publisher: OUP Oxford
ISBN: 019158360X
Category :
Languages : en
Pages : 153
Get Book Here
Book Description
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.
