Graph Theory And Its Applications Second Edition

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Graph Theory and Its Applications, Second Edition

Jonathan L. Gross,Jay Yellen
Graph Theory and Its Applications Second Edition Book PDF

Author : Jonathan L. Gross,Jay Yellen
Publisher : CRC Press
Page : 799 pages
File Size : 54,6 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.

Handbook of Graph Theory, Second Edition

Jonathan L. Gross,Jay Yellen,Ping Zhang
Handbook of Graph Theory Second Edition Book PDF

Author : Jonathan L. Gross,Jay Yellen,Ping Zhang
Publisher : CRC Press
Page : 1634 pages
File Size : 40,6 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781439880180

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Handbook of Graph Theory, Second Edition by Jonathan L. Gross,Jay Yellen,Ping Zhang Pdf

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.

Handbook of Graph Theory

Jonathan L. Gross,Jay Yellen
Handbook of Graph Theory Book PDF

Author : Jonathan L. Gross,Jay Yellen
Publisher : CRC Press
Page : 1200 pages
File Size : 45,8 Mb
Release : 2003-12-29
Category : Computers
ISBN : 0203490207

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Handbook of Graph Theory by Jonathan L. Gross,Jay Yellen Pdf

The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach

Handbook of Graph Theory, Second Edition

Jonathan L. Gross,Jay Yellen,Ping Zhang
Handbook of Graph Theory Second Edition Book PDF

Author : Jonathan L. Gross,Jay Yellen,Ping Zhang
Publisher : CRC Press
Page : 1630 pages
File Size : 45,5 Mb
Release : 2017-02-28
Category : Graph theory
ISBN : 1138199664

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Handbook of Graph Theory, Second Edition by Jonathan L. Gross,Jay Yellen,Ping Zhang Pdf

"Over the past fty years, graph theory has been one of the most rapidly growing areas of mathematics. Since 1960, more than 10,000 di erent authors have published papers classi ed as graph theory by Math Reviews, and for the past decade, more than 1000 graph theory papers have been published each year. Not surprisingly, this Second Edition is about 450 pages longer than the First Edition, which appeared in 2004. This Handbook is intended to provide as comprehensive a view of graph theory as is feasible in a single volume. Many of our chapters survey areas that have large research communities, with hundreds of active mathematicians, and which could be developed into independent handbooks. The 89 contributors to this volume, 31 of whom are new to this edition, collectively represent perhaps as much as 90% or more of the main topics in pure and applied graph theory. Thirteen of the sections in the Second Edition cover newer topics that did not appear in the First Edition. Format In order to achieve this kind of comprehensiveness, we challenged our contributors to restrict their expository prose to a bare minimum, by adhering to the ready-reference style of the CRC Handbook series, which emphasizes quick accessibility for the non- expert. We thank the contributors for responding so well to this challenge. The 13 chapters of the Handbook are organized into 65 sections. Within each section, several major topics are presented. For each topic, there are lists of the essential de nitions and facts, accompanied by examples, tables, remarks, and in some cases, conjectures and open problems. Each section ends with a bibliography of references tied directly to that section. In many cases, these bibliographies are several pages long, providing extensive guides to the"--

Graph Theory Applications

L.R. Foulds
Graph Theory Applications Book PDF

Author : L.R. Foulds
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 43,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461209331

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Graph Theory Applications by L.R. Foulds Pdf

The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Introduction to Graph Theory

Koh Khee Meng,Dong Fengming,Tay Eng Guan
Introduction to Graph Theory Book PDF

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 47,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Graph Theory and Its Applications

Jonathan L. Gross,Jay Yellen,Mark Anderson
Graph Theory and Its Applications Book PDF

Author : Jonathan L. Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 577 pages
File Size : 45,9 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.

Handbook of Product Graphs

Richard Hammack,Wilfried Imrich,Sandi Klavžar
Handbook of Product Graphs Book PDF

Author : Richard Hammack,Wilfried Imrich,Sandi Klavžar
Publisher : CRC Press
Page : 537 pages
File Size : 45,9 Mb
Release : 2011-06-06
Category : Computers
ISBN : 9781439813058

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Handbook of Product Graphs by Richard Hammack,Wilfried Imrich,Sandi Klavžar Pdf

This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.

Research Topics in Graph Theory and Its Applications

Vadim Zverovich
Research Topics in Graph Theory and Its Applications Book PDF

Author : Vadim Zverovich
Publisher : Cambridge Scholars Publishing
Page : 309 pages
File Size : 47,7 Mb
Release : 2019-06-24
Category : Mathematics
ISBN : 9781527536289

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Research Topics in Graph Theory and Its Applications by Vadim Zverovich Pdf

This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.

Graph Theory As I Have Known It

W. T. Tutte
Graph Theory As I Have Known It Book PDF

Author : W. T. Tutte
Publisher : Clarendon Press
Page : 164 pages
File Size : 47,5 Mb
Release : 2012-05-24
Category : Mathematics
ISBN : 9780191637780

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Graph Theory As I Have Known It by W. T. Tutte Pdf

This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.

Combinatorics and Graph Theory

John Harris,Jeffry L. Hirst,Michael Mossinghoff
Combinatorics and Graph Theory Book PDF

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 47,9 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113

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Combinatorics and Graph Theory by John Harris,Jeffry L. Hirst,Michael Mossinghoff Pdf

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

A Textbook of Graph Theory

R. Balakrishnan,K. Ranganathan
A Textbook of Graph Theory Book PDF

Author : R. Balakrishnan,K. Ranganathan
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 48,6 Mb
Release : 2012-09-20
Category : Mathematics
ISBN : 9781461445296

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A Textbook of Graph Theory by R. Balakrishnan,K. Ranganathan Pdf

This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism. This book also introduces several interesting topics such as Dirac's theorem on k-connected graphs, Harary-Nashwilliam's theorem on the hamiltonicity of line graphs, Toida-McKee's characterization of Eulerian graphs, the Tutte matrix of a graph, Fournier's proof of Kuratowski's theorem on planar graphs, the proof of the nonhamiltonicity of the Tutte graph on 46 vertices, and a concrete application of triangulated graphs.

Recent Advancements in Graph Theory

N. P. Shrimali,Nita H. Shah
Recent Advancements in Graph Theory Book PDF

Author : N. P. Shrimali,Nita H. Shah
Publisher : CRC Press
Page : 389 pages
File Size : 46,7 Mb
Release : 2020-11-09
Category : Computers
ISBN : 9781000210200

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Recent Advancements in Graph Theory by N. P. Shrimali,Nita H. Shah Pdf

Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engineering. This book provides the most up-to-date research findings and applications in Graph Theory. This book focuses on the latest research in Graph Theory. It provides recent findings that are occurring in the field, offers insights on an international and transnational levels, identifies the gaps in the results, and includes forthcoming international studies and research, along with its applications in Networking, Computer Science, Chemistry, and Biological Sciences, etc. The book is written with researchers and post graduate students in mind.

Graph Theory for Programmers

Victor N. Kasyanov,Vladimir Anatolʹevich Evstigneev
Graph Theory for Programmers Book PDF

Author : Victor N. Kasyanov,Vladimir Anatolʹevich Evstigneev
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 55,5 Mb
Release : 2000-08-31
Category : Business & Economics
ISBN : 0792364287

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Graph Theory for Programmers by Victor N. Kasyanov,Vladimir Anatolʹevich Evstigneev Pdf

This introductory book treats algorithmic graph theory specifically for programmers. It explores some key ideas and basic algorithms in this large and rapidly growing field, and contains high-level and language-independent descriptions of methods and algorithms on trees, the most important type of graphs in programming and informatics. Readers are assumed to be familiar with the basics of graph theory, and programming. Audience: This volume will be of interest to researchers and specialists in programming, software engineering, data structure and information retrieval, and to mathematicians whose work involves algorithms, combinatorics, graph theory, operations research, and discrete optimization. The book can also be recommended as a text for graduate courses in computer science, electronics, telecommunications, and control engineering.

Topics in Graph Theory

Jonathan L Gross,Jay Yellen,Mark Anderson
Topics in Graph Theory Book PDF

Author : Jonathan L Gross,Jay Yellen,Mark Anderson
Publisher : CRC Press
Page : 904 pages
File Size : 44,5 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.