Adventures in Graph Theory

Adventures in Graph Theory
Author: W. David Joyner
Publisher: Birkhäuser
Total Pages: 327
Release: 2017-12-28
Genre: Mathematics
ISBN: 3319683837

Download Adventures in Graph Theory Book in PDF, Epub and Kindle

This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.

Handbook of Graph Theory

Handbook of Graph Theory
Author: Jonathan L. Gross
Publisher: CRC Press
Total Pages: 1200
Release: 2003-12-29
Genre: Computers
ISBN: 9780203490204

Download Handbook of Graph Theory Book in PDF, Epub and Kindle

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

Algebraic Graph Theory

Algebraic Graph Theory
Author: Ulrich Knauer
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 349
Release: 2019-10-08
Genre: Mathematics
ISBN: 3110617366

Download Algebraic Graph Theory Book in PDF, Epub and Kindle

Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.

Quantitative Graph Theory

Quantitative Graph Theory
Author: Matthias Dehmer
Publisher: CRC Press
Total Pages: 528
Release: 2014-10-27
Genre: Computers
ISBN: 1466584521

Download Quantitative Graph Theory Book in PDF, Epub and Kindle

The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical technique

The Fascinating World of Graph Theory

The Fascinating World of Graph Theory
Author: Arthur Benjamin
Publisher: Princeton University Press
Total Pages: 338
Release: 2017-06-06
Genre: Mathematics
ISBN: 0691175632

Download The Fascinating World of Graph Theory Book in PDF, Epub and Kindle

The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Introduction to Graph Theory

Introduction to Graph Theory
Author: Khee Meng Koh
Publisher: World Scientific
Total Pages: 245
Release: 2007
Genre: Mathematics
ISBN: 9812705252

Download Introduction to Graph Theory Book in PDF, Epub and Kindle

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.

Topics in Graph Theory

Topics in Graph Theory
Author: Jonathan L Gross
Publisher: CRC Press
Total Pages: 904
Release: 2023-05-24
Genre: Mathematics
ISBN: 1000884082

Download Topics in Graph Theory Book in PDF, Epub and Kindle

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.

Graph Theory

Graph Theory
Author: Reinhard Diestel
Publisher: Springer-Verlag, © Reinhard Diestel
Total Pages: 447
Release: 2017-02-01
Genre:
ISBN: 3961340056

Download Graph Theory Book in PDF, Epub and Kindle

Professional electronic edition available from http://diestel-graph-theory.com/professional.html This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. New in this 5th edition: Sections on tangles and tree-width, on tree packing and covering, and on topological spaces as inverse limits of finite graphs. Several new proofs of classical theorems. Many new exercises. From the reviews: “This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematicarum "Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." Persi Diaconis & Ron Graham, SIAM Review “The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications “Succeeds dramatically… a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika “…like listening to someone explain mathematics.” Bulletin of the AMS

Introduction to Graph Theory

Introduction to Graph Theory
Author: Vitaly Ivanovich Voloshin
Publisher:
Total Pages: 0
Release: 2009
Genre: Graph theory
ISBN: 9781606923740

Download Introduction to Graph Theory Book in PDF, Epub and Kindle

Graph Theory is an important area of contemporary mathematics with many applications in computer science, genetics, chemistry, engineering, industry, business and in social sciences. It is a young science invented and developing for solving challenging problems of 'computerised' society for which traditional areas of mathematics such as algebra or calculus are powerless. This book is for math and computer science majors, for students and representatives of many other disciplines (like bioinformatics, for example) taking the courses in graph theory, discrete mathematics, data structures, algorithms.It is also for anyone who wants to understand the basics of graph theory, or just is curious. No previous knowledge in graph theory or any other significant mathematics is required. The very basic facts from set theory, proof techniques and algorithms are sufficient to understand it; but even those are explained in the text. The book discusses the key concepts of graph theory with emphasis on trees, bipartite graphs, cycles, chordal graphs, planar graphs and graph colouring.The reader is conducted from the simplest examples, definitions and concepts, step by step, towards an understanding of a few most fundamental facts in the field.

Introductory Graph Theory

Introductory Graph Theory
Author: Gary Chartrand
Publisher: Courier Corporation
Total Pages: 320
Release: 2012-04-30
Genre: Science
ISBN: 0486134946

Download Introductory Graph Theory Book in PDF, Epub and Kindle

Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, more.