Graphs Digraphs

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Graphs & Digraphs, Fourth Edition

Gary Chartrand,Linda Lesniak,Ping Zhang
Graphs Digraphs Fourth Edition Book PDF

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 398 pages
File Size : 46,7 Mb
Release : 2004-10-28
Category : Mathematics
ISBN : 1584883901

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Graphs & Digraphs, Fourth Edition by Gary Chartrand,Linda Lesniak,Ping Zhang Pdf

With a growing range of applications in fields from computer science to chemistry and communications networks, graph theory has enjoyed a rapid increase of interest and widespread recognition as an important area of mathematics. Through more than 20 years of publication, Graphs & Digraphs has remained a popular point of entry to the field, and through its various editions, has evolved with the field from a purely mathematical treatment to one that also addresses the mathematical needs of computer scientists. Carefully updated, streamlined, and enhanced with new features, Graphs & Digraphs, Fourth Edition reflects many of the developments in graph theory that have emerged in recent years. The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs. New in the Fourth Edition: Expanded treatment of Ramsey theory Major revisions to the material on domination and distance New material on list colorings that includes interesting recent results A solutions manual covering many of the exercises available to instructors with qualifying course adoptions A comprehensive bibliography including an updated list of graph theory books Every edition of Graphs & Digraphs has been unique in its reflection the subject as one that is important, intriguing, and most of all beautiful. The fourth edition continues that tradition, offering a comprehensive, tightly integrated, and up-to-date introduction that imparts an appreciation as well as a solid understanding of the material.

Graphs & Digraphs, Fifth Edition

Gary Chartrand,Linda Lesniak,Ping Zhang
Graphs Digraphs Fifth Edition Book PDF

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 598 pages
File Size : 52,8 Mb
Release : 2010-10-19
Category : Mathematics
ISBN : 9781439895184

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Graphs & Digraphs, Fifth Edition by Gary Chartrand,Linda Lesniak,Ping Zhang Pdf

Continuing to provide a carefully written, thorough introduction, Graphs & Digraphs, Fifth Edition expertly describes the concepts, theorems, history, and applications of graph theory. Nearly 50 percent longer than its bestselling predecessor, this edition reorganizes the material and presents many new topics. New to the Fifth Edition New or expanded coverage of graph minors, perfect graphs, chromatic polynomials, nowhere-zero flows, flows in networks, degree sequences, toughness, list colorings, and list edge colorings New examples, figures, and applications to illustrate concepts and theorems Expanded historical discussions of well-known mathematicians and problems More than 300 new exercises, along with hints and solutions to odd-numbered exercises at the back of the book Reorganization of sections into subsections to make the material easier to read Bolded definitions of terms, making them easier to locate Despite a field that has evolved over the years, this student-friendly, classroom-tested text remains the consummate introduction to graph theory. It explores the subject’s fascinating history and presents a host of interesting problems and diverse applications.

Graphs & Digraphs, Fourth Edition

Gary Chartrand,Linda Lesniak,Ping Zhang
Graphs Digraphs Fourth Edition Book PDF

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : Chapman and Hall/CRC
Page : 432 pages
File Size : 45,9 Mb
Release : 1996-08-01
Category : Mathematics
ISBN : 041298721X

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Graphs & Digraphs, Fourth Edition by Gary Chartrand,Linda Lesniak,Ping Zhang Pdf

This is the third edition of the popular text on graph theory. As in previous editions, the text presents graph theory as a mathematical discipline and emphasizes clear exposition and well-written proofs. New in this edition are expanded treatments of graph decomposition and external graph theory, a study of graph vulnerability and domination, and introductions to voltage graphs, graph labelings, and the probabilistic method in graph theory.

Line Graphs and Line Digraphs

Lowell W. Beineke,Jay S. Bagga
Line Graphs and Line Digraphs Book PDF

Author : Lowell W. Beineke,Jay S. Bagga
Publisher : Springer Nature
Page : 301 pages
File Size : 46,8 Mb
Release : 2021-10-29
Category : Mathematics
ISBN : 9783030813864

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Line Graphs and Line Digraphs by Lowell W. Beineke,Jay S. Bagga Pdf

In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.

Digraphs

Jorgen Bang-Jensen,Gregory Z. Gutin
Digraphs Book PDF

Author : Jorgen Bang-Jensen,Gregory Z. Gutin
Publisher : Springer Science & Business Media
Page : 769 pages
File Size : 54,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781447138860

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Digraphs by Jorgen Bang-Jensen,Gregory Z. Gutin Pdf

The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Discrete Mathematics

Gary Chartrand,Ping Zhang
Discrete Mathematics Book PDF

Author : Gary Chartrand,Ping Zhang
Publisher : Waveland Press
Page : 671 pages
File Size : 44,8 Mb
Release : 2011-03-31
Category : Mathematics
ISBN : 9781478608325

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Discrete Mathematics by Gary Chartrand,Ping Zhang Pdf

Chartrand and Zhangs Discrete Mathematics presents a clearly written, student-friendly introduction to discrete mathematics. The authors draw from their background as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of discrete mathematics. Unique among discrete mathematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the binomial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide variety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook.

Graphs and Homomorphisms

Pavol Hell,Jaroslav Nesetril
Graphs and Homomorphisms Book PDF

Author : Pavol Hell,Jaroslav Nesetril
Publisher : OUP Oxford
Page : 260 pages
File Size : 54,9 Mb
Release : 2004-07-22
Category : Mathematics
ISBN : 9780191523724

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Graphs and Homomorphisms by Pavol Hell,Jaroslav Nesetril Pdf

This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.

Classes of Directed Graphs

Jørgen Bang-Jensen,Gregory Gutin
Classes of Directed Graphs Book PDF

Author : Jørgen Bang-Jensen,Gregory Gutin
Publisher : Springer
Page : 636 pages
File Size : 53,9 Mb
Release : 2018-06-18
Category : Mathematics
ISBN : 9783319718408

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Classes of Directed Graphs by Jørgen Bang-Jensen,Gregory Gutin Pdf

This edited volume offers a detailed account of the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Outlining fundamental discoveries and new results obtained over recent years, this book provides a comprehensive overview of the latest research in the field. It covers core new results on each of the classes discussed, including chapters on tournaments, planar digraphs, acyclic digraphs, Euler digraphs, graph products, directed width parameters, and algorithms. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field. Classes of Directed Graphs provides a valuable reference for graduate students and researchers in computer science, mathematics and operations research. As digraphs are an important modelling tool in other areas of research, this book will also be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics, medicine, etc.

Graphs, Matrices, and Designs

Rolf S. Rees
Graphs Matrices and Designs Book PDF

Author : Rolf S. Rees
Publisher : Routledge
Page : 339 pages
File Size : 41,5 Mb
Release : 2017-07-12
Category : Mathematics
ISBN : 9781351444385

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Graphs, Matrices, and Designs by Rolf S. Rees Pdf

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph theory, Hadamard matrices and graph factorizations. This book is designed to be of interest to applied mathematicians, computer scientists and communications researchers.

Graph-Theoretic Concepts in Computer Science

Christophe Paul,Michel Habib
Graph Theoretic Concepts in Computer Science Book PDF

Author : Christophe Paul,Michel Habib
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 45,7 Mb
Release : 2010-01-11
Category : Computers
ISBN : 9783642114083

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Graph-Theoretic Concepts in Computer Science by Christophe Paul,Michel Habib Pdf

This book constitutes the thoroughly refereed post-conference proceedings of the 35th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2009, held in Montpellier, France, in June 2009. The 28 revised full papers presented together with two invited papers were carefully reviewed and selected from 69 submissions. The papers feature original results on all aspects of graph-theoretic concepts in Computer Science, e.g. structural graph theory, sequential, parallel, and distributed graph and network algorithms and their complexity, graph grammars and graph rewriting systems, graph-based modeling, graph-drawing and layout, diagram methods, and support of these concepts by suitable implementations.

Topics in Intersection Graph Theory

Terry A. McKee,F. R. McMorris
Topics in Intersection Graph Theory Book PDF

Author : Terry A. McKee,F. R. McMorris
Publisher : SIAM
Page : 211 pages
File Size : 45,5 Mb
Release : 1999-01-01
Category : Mathematics
ISBN : 9780898714302

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Topics in Intersection Graph Theory by Terry A. McKee,F. R. McMorris Pdf

Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics. The authors emphasize the underlying tools and techniques and demonstrate how this approach constitutes a definite theory within graph theory. Some of the applications are not widely known or available in the graph theoretic literature and are presented here for the first time. The book also includes a detailed literature guide for many specialized and related areas, a current bibliography, and more than 100 exercises.

Digraphs

Jørgen Bang-Jensen,Gregory Z. Gutin
Digraphs Book PDF

Author : Jørgen Bang-Jensen,Gregory Z. Gutin
Publisher : Springer Science & Business Media
Page : 795 pages
File Size : 42,8 Mb
Release : 2008-12-17
Category : Mathematics
ISBN : 9781848009981

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Digraphs by Jørgen Bang-Jensen,Gregory Z. Gutin Pdf

Substantially revised, reorganised and updated, the second edition now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject.

Simplicial Complexes of Graphs

Jakob Jonsson
Simplicial Complexes of Graphs Book PDF

Author : Jakob Jonsson
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 53,6 Mb
Release : 2007-11-15
Category : Mathematics
ISBN : 9783540758587

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Simplicial Complexes of Graphs by Jakob Jonsson Pdf

A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.

Eulerian Graphs and Related Topics

Anonim
Eulerian Graphs and Related Topics Book PDF

Author : Anonim
Publisher : Elsevier
Page : 337 pages
File Size : 40,7 Mb
Release : 1991-06-03
Category : Mathematics
ISBN : 0080867901

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Eulerian Graphs and Related Topics by Anonim Pdf

Eulerian Graphs and Related Topics

Graph Drawing

David Eppstein,Emden R. Gansner
Graph Drawing Book PDF

Author : David Eppstein,Emden R. Gansner
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 49,7 Mb
Release : 2010-03-24
Category : Computers
ISBN : 9783642118043

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Graph Drawing by David Eppstein,Emden R. Gansner Pdf

This volume constitutes the refereed proceedings of the 17th International Symposium on Graph Drawing, GD 2009, held in Chicago, USA, during September 2009. The 31 revised full papers and 4 short papers presented were carefully reviewed and selected out of 79 submissions. Furthermore, 10 posters were accepted in a separate submission process.