The interplay between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences continues to grow. This book is geared toward the more mathematically mature student. The first two 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. List of Features <ul> <li>Extensive exercises and applications.</li> <li>Flexibility: appropriate for either a first course at the graduate level; or an advanced course at the undergraduate level.</li> <li>Opens avenues to a variety of research areas in graph theory.</li> <li>Emphasis on topological and algebraic graph theory</li> </ul>

Topics in Graph Theory (Discrete Mathematics and Its Applications)

Science & Math

ANDERSON, MARK

Gross, Jonathan L.

Yellen, Jay

Mathematics

Chapman and Hall/CRC

Interest in graphs and their applications has grown tremendously in recent years-largely due to the usefulness of graphs as models for computation and optimization. This comprehensive, applications-driven text provides a fresh and accessible approach suitable for several different courses in graph theory. Written for graduate and advanced undergraduate students, for self-study, and as a reference for working professionals, it covers a wide range of topics in algorithmic, combinatorial, and topological graph theory. The authors present numerous applications and examples designed to stimulate interest in and demonstrate the relevance of new concepts. With its generous use of drawings, streamlined proofs, and concise algorithms, Graph Theory and Its Applications offers a less intimidating treatment of the subject. It also includes more than 1,600 exercises-from routine to challenging-providing a rich source of problems that test your understanding. In this text, the authors succeed in presenting the subject in a cohesive framework that transforms important techniques and analytic tools into a unified mathematical methodology.

Graph Theory and Its Applications

Computers & Technology

Operating Systems

CRC-Press

Graph Theory and Its Applications (Textbooks in Mathematics)

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.\nThe 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.\nFeatures of the Third Edition\nExpanded coverage on several topics (e.g., applications of graph coloring and tree-decompositions)\nProvides better coverage of algorithms and algebraic and topological graph theory than any other text\nIncorporates several levels of carefully designed exercises that promote student retention and develop and sharpen problem-solving skills\nIncludes supplementary exercises to develop problem-solving skills, solutions and hints, and a detailed appendix, which reviews the textbook’s topics\nAbout the Authors\nJonathan L. Gross is a professor of computer science at Columbia University. His research interests include topology and graph theory.\nJay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms.\nMark Anderson is also a mathematics professor at Rollins College. His research interest in graph theory centers on the topological or algebraic side.

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 <ul>
<li>Expanded coverage on several topics (e.g., applications of graph coloring and tree-decompositions)</li> <li>Provides better coverage of algorithms and algebraic and topological graph theory than any other text </li> <li>Incorporates several levels of carefully designed exercises that promote student retention and develop and sharpen problem-solving skills</li> <li>Includes supplementary exercises to develop problem-solving skills, solutions and hints, and a detailed appendix, which reviews the textbook’s topics</li> </ul> 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.

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? 
<li>New chapters on measurement and analytic graph theory 
</li>
<li>Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. 
</li>
<li>Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth 
</li>
<li>Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition 
</li>
<li>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.</li>

See the best price to sell, buy, or rent books by Yellen, Jay. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Yellen, Jay

See the best price to sell, buy, or rent books by Yellen, Jay. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Topics in Graph Theory (Discrete Mathematics and Its Applications)

Graph Theory and Its Applications

Graph Theory and Its Applications (Textbooks in Mathematics)

Graph Theory and Its Applications (Textbooks in Mathematics)

Graph Theory and Its Applications (Textbooks in Mathematics)