Graphs Digraphs Fourth Edition

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 398 pages
File Size : 42,7 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 The authors have added discussions on topics of increasing interest, deleted outdated material, and judiciously augmented the Exercises sections to cover a range of problems that reach beyond the construction of proofs.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.

Author : Chartrand G Staff,Gary Chartrand
Publisher : Chapman & Hall/CRC
Page : 128 pages
File Size : 55,7 Mb
Release : 2006-06
Category : Electronic
ISBN : 1584887478

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Solutions Manual for Graphs and Digraphs Fourth Edition by Chartrand G Staff,Gary Chartrand Pdf

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 598 pages
File Size : 54,8 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.

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : Chapman and Hall/CRC
Page : 432 pages
File Size : 48,7 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.

Author : Gary Chartrand
Publisher : Unknown
Page : 386 pages
File Size : 46,8 Mb
Release : 2005
Category : Directed graphs
ISBN : OCLC:1149335077

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Graphs & Digraphs by Gary Chartrand Pdf

Author : Gary Chartrand,Linda Lesniak,Ping Zhang
Publisher : CRC Press
Page : 600 pages
File Size : 50,9 Mb
Release : 2010-10-19
Category : Mathematics
ISBN : 9781439826270

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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.

Author : Lowell W. Beineke,Jay S. Bagga
Publisher : Springer Nature
Page : 301 pages
File Size : 51,8 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.

Author : Jonathan L. Gross,Jay Yellen
Publisher : CRC Press
Page : 799 pages
File Size : 54,7 Mb
Release : 2005-09-22
Category : Mathematics
ISBN : 9781584885054

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Graph Theory and Its Applications, Second Edition by Jonathan L. Gross,Jay Yellen Pdf

Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.

Author : Jonathan L Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 904 pages
File Size : 51,7 Mb
Release : 2023-05-24
Category : Mathematics
ISBN : 9781000884081

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Topics in Graph Theory by Jonathan L Gross,Jay Yellen,Mark Anderson Pdf

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences. Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level. The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material. Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.

Author : Jonathan L. Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 577 pages
File Size : 44,9 Mb
Release : 2018-11-05
Category : Computers
ISBN : 9780429757099

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Graph Theory and Its Applications by Jonathan L. Gross,Jay Yellen,Mark Anderson Pdf

Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theory, integrating careful exposition of classical developments with emerging methods, models, and practical needs. The authors’ unparalleled treatment is an ideal text for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology. Features of the Third Edition Expanded coverage on several topics (e.g., applications of graph coloring and tree-decompositions) Provides better coverage of algorithms and algebraic and topological graph theory than any other text Incorporates several levels of carefully designed exercises that promote student retention and develop and sharpen problem-solving skills Includes supplementary exercises to develop problem-solving skills, solutions and hints, and a detailed appendix, which reviews the textbook’s topics About the Authors Jonathan L. Gross is a professor of computer science at Columbia University. His research interests include topology and graph theory. Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms. Mark Anderson is also a mathematics professor at Rollins College. His research interest in graph theory centers on the topological or algebraic side.

Author : Gary Chartrand,Ping Zhang
Publisher : Waveland Press
Page : 671 pages
File Size : 41,6 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.

Author : Gary Chartrand,Ping Zhang
Publisher : CRC Press
Page : 504 pages
File Size : 48,5 Mb
Release : 2008-09-22
Category : Mathematics
ISBN : 1584888016

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Chromatic Graph Theory by Gary Chartrand,Ping Zhang Pdf

Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contained book first presents 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. The remainder of the text deals exclusively with graph colorings. It 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, and many distance-related vertex colorings. With historical, applied, and algorithmic discussions, this text offers a solid introduction to one of the most popular areas of graph theory.

Author : Armen S. Asratian,Tristan M. J. Denley,Roland Häggkvist
Publisher : Cambridge University Press
Page : 283 pages
File Size : 55,5 Mb
Release : 1998-07-13
Category : Mathematics
ISBN : 052159345X

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Bipartite Graphs and Their Applications by Armen S. Asratian,Tristan M. J. Denley,Roland Häggkvist Pdf

This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, Chemistry, Communication Networks and Computer Science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory.

Author : Dafik
Publisher : Springer Nature
Page : 262 pages
File Size : 47,5 Mb
Release : 2023-04-26
Category : Mathematics
ISBN : 9789464631388

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Proceedings of the 6th International Conference on Combinatorics, Graph Theory, and Network Topology (ICCGANT 2022) by Dafik Pdf

This is an open access book. It is with great pleasure and honor to announce The 6th International Conference of Combinatorics, Graph Theory, and Network Topology which will be held from 15th – 16th November 2022 in the University of Jember, East Java, Indonesia. It is the fifth international conference organized by CGANT. It is the sixth international conference organized by CGANT Research Group University of Jember in cooperation with Indonesian Combinatorics Society (INACOBMS). The conference is held to welcome participants from many countries, with broad and diverse research interests of mathematics especially combinatorical study. The mission is to become an annual international forum in the future, where, civil society organization and representative, research students, academics and researchers, scholars, scientist, teachers and practitioners from all over the world could meet in and exchange an idea to share and to discuss theoretical and practical knowledge about mathematics and its applications. The aim of the sixth conference is to present and discuss the latest research that contributes to the sharing of new theoretical, methodological and empirical knowledge and a better understanding in the area mathematics, application of mathematics as well as mathematics education.

Author : John Dossey,Albert Otto,Lawrence Spence,Charles Vanden Eynden
Publisher : Unknown
Page : 0 pages
File Size : 45,5 Mb
Release : 2017-03-07
Category : Combinatorial analysis
ISBN : 0134689569

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Discrete Mathematics (Classic Version) by John Dossey,Albert Otto,Lawrence Spence,Charles Vanden Eynden Pdf

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. An ever-increasing percentage of mathematic applications involve discrete rather than continuous models. Driving this trend is the integration of the computer into virtually every aspect of modern society. Intended for a one-semester introductory course, the strong algorithmic emphasis of Discrete Mathematics is independent of a specific programming language, allowing students to concentrate on foundational problem-solving and analytical skills. Instructors get the topical breadth and organizational flexibility to tailor the course to the level and interests of their students.