Chromatic Graph Theory
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| 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 | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 416 |
| Release | : 2015-05-07 |
| Genre | : Mathematics |
| ISBN | : 1316239853 |
Download Topics in Chromatic Graph Theory Book in PDF, Epub and Kindle
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 | : Edward R. Scheinerman |
| Publisher | : Courier Corporation |
| Total Pages | : 240 |
| Release | : 2013-04-29 |
| Genre | : Mathematics |
| ISBN | : 0486292134 |
Download Fractional Graph Theory Book in PDF, Epub and Kindle
This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.
| Author | : Fengming Dong |
| Publisher | : World Scientific |
| Total Pages | : 386 |
| Release | : 2005-06-23 |
| Genre | : Mathematics |
| ISBN | : 9814480460 |
Download Chromatic Polynomials And Chromaticity Of Graphs Book in PDF, Epub and Kindle
This is the first book to comprehensively cover chromatic polynomials of graphs. It includes most of the known results and unsolved problems in the area of chromatic polynomials. Dividing the book into three main parts, the authors take readers from the rudiments of chromatic polynomials to more complex topics: the chromatic equivalence classes of graphs and the zeros and inequalities of chromatic polynomials. The early material is well suited to a graduate level course while the latter parts will be an invaluable resource for postgraduate students and researchers in combinatorics and graph theory.
| 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 | : Chris Godsil |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 453 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461301637 |
Download Algebraic Graph Theory Book in PDF, Epub and Kindle
This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
| Author | : Koh Khee Meng |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 244 |
| Release | : 2007-03-15 |
| Genre | : Mathematics |
| ISBN | : 9813101636 |
Download Introduction to Graph Theory Book in PDF, Epub and Kindle
Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.
| Author | : Ping Zhang |
| Publisher | : Springer |
| Total Pages | : 157 |
| 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 | : Jan de Gier |
| Publisher | : Springer Nature |
| Total Pages | : 798 |
| Release | : 2021-02-10 |
| Genre | : Mathematics |
| ISBN | : 3030624978 |
Download 2019-20 MATRIX Annals Book in PDF, Epub and Kindle
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
| 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.
