Adventures In Graph Theory

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Adventures in Graph Theory

W. David Joyner,Caroline Grant Melles
Adventures in Graph Theory Book PDF

Author : W. David Joyner,Caroline Grant Melles
Publisher : Birkhäuser
Page : 327 pages
File Size : 46,6 Mb
Release : 2017-12-28
Category : Mathematics
ISBN : 9783319683836

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Adventures in Graph Theory by W. David Joyner,Caroline Grant Melles Pdf

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.

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 : 50,7 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.

Algebraic Graph Theory

Ulrich Knauer,Kolja Knauer
Algebraic Graph Theory Book PDF

Author : Ulrich Knauer,Kolja Knauer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 349 pages
File Size : 40,6 Mb
Release : 2019-10-08
Category : Mathematics
ISBN : 9783110617368

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Algebraic Graph Theory by Ulrich Knauer,Kolja Knauer Pdf

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.

Adventures in Group Theory

David Joyner
Adventures in Group Theory Book PDF

Author : David Joyner
Publisher : JHU Press
Page : 329 pages
File Size : 55,6 Mb
Release : 2008-12-29
Category : Mathematics
ISBN : 9780801890130

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Adventures in Group Theory by David Joyner Pdf

David Joyner uses mathematical toys such as the Rubik's Cube to make abstract algebra and group theory fun. This updated second edition uses SAGE, an open-source computer algebra system, to illustrate many of the computations.

The Fascinating World of Graph Theory

Arthur Benjamin,Gary Chartrand,Ping Zhang
The Fascinating World of Graph Theory Book PDF

Author : Arthur Benjamin,Gary Chartrand,Ping Zhang
Publisher : Princeton University Press
Page : 338 pages
File Size : 41,7 Mb
Release : 2017-06-06
Category : Mathematics
ISBN : 9780691175638

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The Fascinating World of Graph Theory by Arthur Benjamin,Gary Chartrand,Ping Zhang Pdf

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.

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 : 49,9 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

Introduction to Graph Theory

Khee Meng Koh,F. M. Dong,Eng Guan Tay
Introduction to Graph Theory Book PDF

Author : Khee Meng Koh,F. M. Dong,Eng Guan Tay
Publisher : World Scientific
Page : 245 pages
File Size : 46,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812705259

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Introduction to Graph Theory by Khee Meng Koh,F. M. Dong,Eng Guan Tay 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.

Quantitative Graph Theory

Matthias Dehmer,Frank Emmert-Streib
Quantitative Graph Theory Book PDF

Author : Matthias Dehmer,Frank Emmert-Streib
Publisher : CRC Press
Page : 528 pages
File Size : 51,5 Mb
Release : 2014-10-27
Category : Computers
ISBN : 9781466584525

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Quantitative Graph Theory by Matthias Dehmer,Frank Emmert-Streib Pdf

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

Graph Theory

Bin Xiong,Zhongyi Zheng
Graph Theory Book PDF

Author : Bin Xiong,Zhongyi Zheng
Publisher : World Scientific
Page : 159 pages
File Size : 51,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814271134

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Graph Theory by Bin Xiong,Zhongyi Zheng Pdf

Trouble in the Barker's Class

Introduction to Graph Theory

Vitaly Ivanovich Voloshin
Introduction to Graph Theory Book PDF

Author : Vitaly Ivanovich Voloshin
Publisher : Unknown
Page : 0 pages
File Size : 40,5 Mb
Release : 2009
Category : Graph theory
ISBN : 1606923749

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Introduction to Graph Theory by Vitaly Ivanovich Voloshin Pdf

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.

A First Course in Graph Theory and Combinatorics

Sebastian M. Cioabă
A First Course in Graph Theory and Combinatorics Book PDF

Author : Sebastian M. Cioabă
Publisher : Springer
Page : 186 pages
File Size : 47,8 Mb
Release : 2009-05-15
Category : Mathematics
ISBN : 9789386279392

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A First Course in Graph Theory and Combinatorics by Sebastian M. Cioabă Pdf

The concept of a graph is fundamental in mathematics since it conveniently encodes diverse relations and facilitates combinatorial analysis of many complicated counting problems. In this book, the authors have traced the origins of graph theory from its humble beginnings of recreational mathematics to its modern setting for modeling communication networks as is evidenced by the World Wide Web graph used by many Internet search engines. This book is an introduction to graph theory and combinatorial analysis. It is based on courses given by the second author at Queen's University at Kingston, Ontario, Canada between 2002 and 2008. The courses were aimed at students in their final year of their undergraduate program.

Topics in Algebraic Graph Theory

Lowell W. Beineke,Robin J. Wilson
Topics in Algebraic Graph Theory Book PDF

Author : Lowell W. Beineke,Robin J. Wilson
Publisher : Cambridge University Press
Page : 302 pages
File Size : 50,7 Mb
Release : 2004-10-04
Category : Mathematics
ISBN : 0521801974

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Topics in Algebraic Graph Theory by Lowell W. Beineke,Robin J. Wilson Pdf

There is no other book with such a wide scope of both areas of algebraic graph theory.

Advanced Graph Theory and Combinatorics

Michel Rigo
Advanced Graph Theory and Combinatorics Book PDF

Author : Michel Rigo
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 46,6 Mb
Release : 2016-11-22
Category : Computers
ISBN : 9781119058649

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Advanced Graph Theory and Combinatorics by Michel Rigo Pdf

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

Graph Theory

Wayne Copes
Graph Theory Book PDF

Author : Wayne Copes
Publisher : Everyday Learning Corporation
Page : 84 pages
File Size : 48,5 Mb
Release : 1987
Category : Juvenile Nonfiction
ISBN : STANFORD:36105003969347

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Graph Theory by Wayne Copes Pdf

Set of student books provides exercises on a variety of mathematical concepts. Topics covered include graphing, probabilities, and applications to computer programming and medicine. The accompanying teacher's manual includes objectives, vocabulary, and suggestions for discussion questions and extension activities. Secondary level.

A Friendly Introduction to Graph Theory

Fred Buckley,Marty Lewinter
A Friendly Introduction to Graph Theory Book PDF

Author : Fred Buckley,Marty Lewinter
Publisher : Unknown
Page : 0 pages
File Size : 53,5 Mb
Release : 2003
Category : Graph theory
ISBN : 0130669490

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A Friendly Introduction to Graph Theory by Fred Buckley,Marty Lewinter Pdf

This book introduces graph theory, a subject with a wide range of applications in real-work situations. This book is designed to be easily accessible to the novice, assuming no more than a good grasp of algebra to understand and relate to the concepts presented. Using many examples, illustrations, and figures, it provides an excellent foundation for the basic knowledge of graphs and their applications. This book includes an introductory chapter that reviews the tools necessary to understand the concepts of graphs, and then goes on to cover such topics as trees and bipartite graphs, distance and connectivity, Eulerian and Hamiltonian graphs, graph coloring, matrices, algorithms, planar graphs, and digraphs and networks. Graph theory has a wide range of applications; this book is useful for those in the fields of anthropology, computer science, chemistry, environmental conservation, fluid dynamics, psychology, sociology, traffic management, telecommunications, and business managers and strategists.