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Graph theory

Graph Theory and Its Applications

Graph Theory and its Applications, Third Edition is the latest edition of the bestselling textbook for undergraduate courses in graph theory, yet expansive enough to be used for graduate courses.

Author: Jonathan L. Gross

Publisher: Chapman & Hall/CRC

ISBN: 1482249480

Category: Graph theory

Page: 577

View: 332

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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.
2018-11 By Jonathan L. Gross
Mathematics

Graph Theory and Its Applications Second Edition

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?

Author: Jonathan L. Gross

Publisher: CRC Press

ISBN: 9781584885054

Category: Mathematics

Page: 800

View: 256

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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.
2005-09-22 By Jonathan L. Gross
Computers

Graph Theory and Its Applications

Textbooks in Mathematics Series editors : Al Boggess and Ken Rosen A CONCRETE INTRODUCTION TO REAL ANALYSIS , SECOND EDITION Robert Carlson MATHEMATICAL MODELING FOR BUSINESS ANALYTICS William P. Fox ELEMENTARY LINEAR ALGEBRA James R.

Author: Jonathan L. Gross

Publisher: CRC Press

ISBN: 9780429757099

Category: Computers

Page: 577

View: 496

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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.
2018-11-05 By Jonathan L. Gross
Mathematics

Handbook of Graph Theory Second Edition

This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory.

Author: Jonathan L. Gross

Publisher: CRC Press

ISBN: 9781439880180

Category: Mathematics

Page: 1630

View: 163

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In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.
2013-12-17 By Jonathan L. Gross
Mathematics

Chromatic Graph Theory

Textbooks in Mathematics Series editors: Al Boggess and Ken Rosen CRYPTOGRAPHY: THEORY AND PRACTICE, FOURTH EDITION Douglas R. Stinson and Maura B. Paterson GRAPH THEORY AND ITS APPLICATIONS, THIRD EDITION Jonathan L. Gross, ...

Author: Gary Chartrand

Publisher: CRC Press

ISBN: 9780429798276

Category: Mathematics

Page: 503

View: 337

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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
2019-12-04 By Gary Chartrand
Business & Economics

Mathematical Modeling with Excel

Textbooks in Mathematics Series editors: Al Boggess and Ken Rosen GRAPH THEORY AND ITS APPLICATIONS, THIRD EDITION Jonathan L. Gross, Jay Yellen and Mark Anderson COMPLEX VARIABLES: A PHYSICAL APPROACH WITH APPLICATIONS, SECOND EDITION ...

Author: Brian Albright

Publisher: CRC Press

ISBN: 9780429945052

Category: Business & Economics

Page: 360

View: 515

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This text presents a wide variety of common types of models found in other mathematical modeling texts, as well as some new types. However, the models are presented in a very unique format. A typical section begins with a general description of the scenario being modeled. The model is then built using the appropriate mathematical tools. Then it is implemented and analyzed in Excel via step-by-step instructions. In the exercises, we ask students to modify or refine the existing model, analyze it further, or adapt it to similar scenarios.
2019-11-25 By Brian Albright
Mathematics

Spherical Geometry and Its Applications

Textbooks in Mathematics Series editors: Al Boggess and Ken Rosen CRYPTOGRAPHY: THEORY AND PRACTICE, FOURTH EDITION Douglas R. Stinson and Maura B. Paterson GRAPH THEORY AND ITS APPLICATIONS, THIRD EDITION Jonathan L. Gross, ...

Author: Marshall A. Whittlesey

Publisher: CRC Press

ISBN: 9781000617542

Category: Mathematics

Page: 335

View: 599

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Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text can serve as a course in spherical geometry for mathematics majors. Readers from various academic backgrounds can comprehend various approaches to the subject. The book introduces an axiomatic system for spherical geometry and uses it to prove the main theorems of the subject. It also provides an alternate approach using quaternions. The author illustrates how a traditional axiomatic system for plane geometry can be modified to produce a different geometric world – but a geometric world that is no less real than the geometric world of the plane. Features: A well-rounded introduction to spherical geometry Provides several proofs of some theorems to appeal to larger audiences Presents principal applications: the study of the surface of the earth, the study of stars and planets in the sky, the study of three- and four-dimensional polyhedra, mappings of the sphere, and crystallography Many problems are based on propositions from the ancient text Sphaerica of Menelaus
2019-11-14 By Marshall A. Whittlesey
Science

Complex Networks

Principles, Methods and Applications Vito Latora, Vincenzo Nicosia, Giovanni Russo. [132] K.-I. Goh, B. Kahng and D. Kim. ... Graph Theory and Its Applications, Second Edition. Textbooks in Mathematics. Taylor & Francis, 2005.

Author: Vito Latora

Publisher: Cambridge University Press

ISBN: 9781107103184

Category: Science

Page: 594

View: 478

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A comprehensive introduction to the theory and applications of complex network science, complete with real-world data sets and software tools.
2017-09-30 By Vito Latora
Mathematics

How to Count

This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background.

Author: R.B.J.T. Allenby

Publisher: CRC Press

ISBN: 9781420082616

Category: Mathematics

Page: 444

View: 105

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Emphasizes a Problem Solving Approach A first course in combinatorics Completely revised, How to Count: An Introduction to Combinatorics, Second Edition shows how to solve numerous classic and other interesting combinatorial problems. The authors take an easily accessible approach that introduces problems before leading into the theory involved. Although the authors present most of the topics through concrete problems, they also emphasize the importance of proofs in mathematics. New to the Second Edition This second edition incorporates 50 percent more material. It includes seven new chapters that cover occupancy problems, Stirling and Catalan numbers, graph theory, trees, Dirichlet’s pigeonhole principle, Ramsey theory, and rook polynomials. This edition also contains more than 450 exercises. Ideal for both classroom teaching and self-study, this text requires only a modest amount of mathematical background. In an engaging way, it covers many combinatorial tools, such as the inclusion-exclusion principle, generating functions, recurrence relations, and Pólya’s counting theorem.
2011-07-01 By R.B.J.T. Allenby
Computers

Discrete Mathematics and Applications

Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book.

Author: Kevin Ferland

Publisher: CRC Press

ISBN: 9781498730679

Category: Computers

Page: 916

View: 693

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Discrete Mathematics and Applications, Second Edition is intended for a one-semester course in discrete mathematics. Such a course is typically taken by mathematics, mathematics education, and computer science majors, usually in their sophomore year. Calculus is not a prerequisite to use this book. Part one focuses on how to write proofs, then moves on to topics in number theory, employing set theory in the process. Part two focuses on computations, combinatorics, graph theory, trees, and algorithms. Emphasizes proofs, which will appeal to a subset of this course market Links examples to exercise sets Offers edition that has been heavily reviewed and developed Focuses on graph theory Covers trees and algorithms
2017-09-19 By Kevin Ferland

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