Graphs Digraphs

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Line Graphs and Line Digraphs

Author : Lowell W. Beineke
Publisher : Springer Nature
ISBN 13 : 303081386X
Total Pages : 301 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Line Graphs and Line Digraphs by : Lowell W. Beineke

Download or read book Line Graphs and Line Digraphs written by Lowell W. Beineke and published by Springer Nature. This book was released on 2021-10-29 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graphs & Digraphs

Author : Gary Chartrand
Publisher : CRC Press
ISBN 13 : 1498735800
Total Pages : 624 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Graphs & Digraphs by : Gary Chartrand

Download or read book Graphs & Digraphs written by Gary Chartrand and published by CRC Press. This book was released on 2015-12-16 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs & Digraphs masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory.Fully updated and thoughtfully reorganized to make reading and locating material easier for instructors and students

Digraphs

Author : Jorgen Bang-Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 1447138864
Total Pages : 769 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Digraphs by : Jorgen Bang-Jensen

Download or read book Digraphs written by Jorgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Classes of Directed Graphs

Author : Jørgen Bang-Jensen
Publisher : Springer
ISBN 13 : 3319718401
Total Pages : 654 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Classes of Directed Graphs by : Jørgen Bang-Jensen

Download or read book Classes of Directed Graphs written by Jørgen Bang-Jensen and published by Springer. This book was released on 2018-06-18 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Mathematics

Author : Gary Chartrand
Publisher : Waveland Press
ISBN 13 : 1478608323
Total Pages : 685 pages
Book Rating : 4.4/5 (786 download)

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Book Synopsis Discrete Mathematics by : Gary Chartrand

Download or read book Discrete Mathematics written by Gary Chartrand and published by Waveland Press. This book was released on 2011-03-31 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 & Digraphs

Author : Gary Chartrand
Publisher : CRC Press
ISBN 13 : 143989518X
Total Pages : 600 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Graphs & Digraphs by : Gary Chartrand

Download or read book Graphs & Digraphs written by Gary Chartrand and published by CRC Press. This book was released on 2010-10-19 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Matrices, and Designs

Author : Rees
Publisher : Routledge
ISBN 13 : 1351444379
Total Pages : 350 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Graphs, Matrices, and Designs by : Rees

Download or read book Graphs, Matrices, and Designs written by Rees and published by Routledge. This book was released on 2017-07-12 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graphs and Digraphs

Author : Gary Chartrand
Publisher : Chapman and Hall/CRC
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Graphs and Digraphs by : Gary Chartrand

Download or read book Graphs and Digraphs written by Gary Chartrand and published by Chapman and Hall/CRC. This book was released on 1986-07-31 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of this text integrates the discussion of graphs and digraphs and has new material on graph algorithms and their applications.

Graphs and Homomorphisms

Author : Pavol Hell
Publisher : OUP Oxford
ISBN 13 : 0191523720
Total Pages : 260 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Graphs and Homomorphisms by : Pavol Hell

Download or read book Graphs and Homomorphisms written by Pavol Hell and published by OUP Oxford. This book was released on 2004-07-22 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graphs & Digraphs, Fourth Edition

Author : Gary Chartrand
Publisher : Chapman and Hall/CRC
ISBN 13 : 9780412987212
Total Pages : 432 pages
Book Rating : 4.9/5 (872 download)

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Book Synopsis Graphs & Digraphs, Fourth Edition by : Gary Chartrand

Download or read book Graphs & Digraphs, Fourth Edition written by Gary Chartrand and published by Chapman and Hall/CRC. This book was released on 1996-08-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Digraphs

Author : Jørgen Bang-Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 1848009984
Total Pages : 795 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Digraphs by : Jørgen Bang-Jensen

Download or read book Digraphs written by Jørgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2008-12-17 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Diagraphs

Author : Jørgen Bang-Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 9781852336110
Total Pages : 780 pages
Book Rating : 4.3/5 (361 download)

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Book Synopsis Diagraphs by : Jørgen Bang-Jensen

Download or read book Diagraphs written by Jørgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2002 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research.This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications.

Graph Drawing

Author : David Eppstein
Publisher : Springer
ISBN 13 : 3642118054
Total Pages : 446 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Graph Drawing by : David Eppstein

Download or read book Graph Drawing written by David Eppstein and published by Springer. This book was released on 2010-03-10 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Textbook of Graph Theory

Author : R. Balakrishnan
Publisher : Springer Science & Business Media
ISBN 13 : 1461445280
Total Pages : 296 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis A Textbook of Graph Theory by : R. Balakrishnan

Download or read book A Textbook of Graph Theory written by R. Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-09-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its second edition, expanded with new chapters on domination in graphs and on the spectral properties of graphs, this book offers a solid background in the basics of graph theory. Introduces such topics as Dirac's theorem on k-connected graphs and more.

Analysis and Geometry on Graphs and Manifolds

Author : Matthias Keller
Publisher : Cambridge University Press
ISBN 13 : 1108587380
Total Pages : 493 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Analysis and Geometry on Graphs and Manifolds by : Matthias Keller

Download or read book Analysis and Geometry on Graphs and Manifolds written by Matthias Keller and published by Cambridge University Press. This book was released on 2020-08-20 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the interplay between several rapidly expanding areas of mathematics. Suitable for graduate students as well as researchers, it provides surveys of topics linking geometry, spectral theory and stochastics.

Algorithms and Models for the Web-Graph

Author : Ravi Kumar
Publisher : Springer
ISBN 13 : 3642180094
Total Pages : 170 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Algorithms and Models for the Web-Graph by : Ravi Kumar

Download or read book Algorithms and Models for the Web-Graph written by Ravi Kumar and published by Springer. This book was released on 2010-12-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Algorithms and Models for the Web-Graph, WAW 2010, held in Stanford, CA, USA, in December 2010, which was co-located with the 6th International Workshop on Internet and Network Economics (WINE 2010). The 13 revised full papers and the invited paper presented were carefully reviewed and selected from 19 submissions.

Graph Drawing

Author : Guiseppe Liotta
Publisher : Springer Science & Business Media
ISBN 13 : 3540208313
Total Pages : 556 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Graph Drawing by : Guiseppe Liotta

Download or read book Graph Drawing written by Guiseppe Liotta and published by Springer Science & Business Media. This book was released on 2004-01-13 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 11th International Symposium on Graph Drawing (GD 2003) was held on September 21–24, 2003, at the Universit` a degli Studi di Perugia, Perugia, Italy. GD 2003 attracted 93 participants from academic and industrial institutions in 17 countries. In response to the call for papers, the program committee received 88 re- larsubmissionsdescribingoriginalresearchand/orsystemdemonstrations.Each submission was reviewed by at least 4 program committee members and c- ments were returned to the authors. Following extensive e-mail discussions, the program committee accepted 34 long papers (12 pages each in the proceedings) and 11 short papers (6 pages each in the proceedings). Also, 6 posters (2 pages each in the proceedings) were displayed in the conference poster gallery. In addition to the 88 submissions, the program committee also received a submission of special type, one that was not competing with the others for a time slot in the conference program and that collects selected open problems in graph drawing. The aim of this paper, which was refereed with particular care andUNCHANGEDtworoundsofrevisions,istostimulatefutureresearchinthe graph drawing community. The paper presents 42 challenging open problems in di?erentareasofgraphdrawingandcontainsmorethan120references.Although the length of the paper makes it closer to a journal version than to a conference extended abstract, we decided to include it in the conference proceedings so that it could easily reach in a short time the vast majority of the graph drawing community.