A Friendly Introduction To Graph Theory

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A Friendly Introduction to Graph Theory

Author : Fred Buckley,Marty Lewinter
Publisher : Unknown
Page : 0 pages
File Size : 54,8 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.

Introduction to Graph Theory

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 44,6 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.

A First Course in Graph Theory

Author : Gary Chartrand,Ping Zhang
Publisher : Courier Corporation
Page : 464 pages
File Size : 46,8 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9780486297309

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A First Course in Graph Theory by Gary Chartrand,Ping Zhang Pdf

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Introduction to Graph Theory

Author : Richard J. Trudeau
Publisher : Courier Corporation
Page : 224 pages
File Size : 52,7 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318660

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Introduction to Graph Theory by Richard J. Trudeau Pdf

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

Introduction to Graph Theory

Author : Khee Meng Koh,F. M. Dong,Eng Guan Tay
Publisher : World Scientific
Page : 245 pages
File Size : 40,5 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.

Introduction to Graph Theory

Author : Gary Chartrand,Ping Zhang
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 0 pages
File Size : 41,8 Mb
Release : 2005
Category : Graph theory
ISBN : 0072948620

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Introduction to Graph Theory by Gary Chartrand,Ping Zhang Pdf

Economic applications of graphs ands equations, differnetiation rules for exponentiation of exponentials ...

Introduction to Graph Theory uPDF eBook

Author : Robin J. Wilson
Publisher : Pearson Higher Ed
Page : 193 pages
File Size : 45,7 Mb
Release : 2015-11-09
Category : Mathematics
ISBN : 9781292122557

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Introduction to Graph Theory uPDF eBook by Robin J. Wilson Pdf

In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson’s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians. The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.

Introduction to Graph Theory

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 260 pages
File Size : 40,8 Mb
Release : 2007-10-12
Category : Mathematics
ISBN : 9789813101456

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

This is a companion to the book Introduction to Graph Theory (World Scientific, 2006). The student who has worked on the problems will find the solutions presented useful as a check and also as a model for rigorous mathematical writing. For ease of reference, each chapter recaps some of the important concepts and/or formulae from the earlier book.

Introduction to Graph Theory

Author : Richard J. Trudeau
Publisher : Courier Corporation
Page : 242 pages
File Size : 45,9 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486678702

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Introduction to Graph Theory by Richard J. Trudeau Pdf

A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

Graph Theory

Author : Russell Merris
Publisher : John Wiley & Sons
Page : 258 pages
File Size : 44,8 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118031292

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Graph Theory by Russell Merris Pdf

A lively invitation to the flavor, elegance, and power of graph theory This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory. Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to Pólya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra. The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.

Introduction to Graph Theory

Author : Douglas Brent West
Publisher : Unknown
Page : 536 pages
File Size : 40,7 Mb
Release : 1996
Category : Mathematics
ISBN : UOM:39015037483909

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Introduction to Graph Theory by Douglas Brent West Pdf

Flexibly designed for CS students needing math review. Also covers some advanced, cutting edge topics (running 120 pages and intended for grad students) in the last chapter (8). This text fits senior year or intro. grad course for CS and math majors.

Introductory Graph Theory

Author : Gary Chartrand
Publisher : Courier Corporation
Page : 320 pages
File Size : 40,9 Mb
Release : 2012-04-30
Category : Science
ISBN : 9780486134949

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Introductory Graph Theory by Gary Chartrand Pdf

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.

Graph Theory

Author : Karin R Saoub
Publisher : CRC Press
Page : 421 pages
File Size : 54,8 Mb
Release : 2021-03-17
Category : Mathematics
ISBN : 9780429779886

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Graph Theory by Karin R Saoub Pdf

Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees – terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.

Combinatorics and Graph Theory

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 52,7 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.

Introduction to Graph Theory

Author : Vitaly Ivanovich Voloshin
Publisher : Unknown
Page : 0 pages
File Size : 53,6 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.