Graph Theory in America

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691240655
Total Pages : 321 pages
Book Rating : 4.57/5 ( download)

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Book Synopsis Graph Theory in America by : Robin Wilson

Download or read book Graph Theory in America written by Robin Wilson and published by Princeton University Press. This book was released on 2023-01-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.

Fundamentals of Graph Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 1470453428
Total Pages : 336 pages
Book Rating : 4.28/5 ( download)

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Book Synopsis Fundamentals of Graph Theory by : Allan Bickle

Download or read book Fundamentals of Graph Theory written by Allan Bickle and published by American Mathematical Soc.. This book was released on 2020-03-10 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is a fascinating and inviting branch of mathematics. Many problems are easy to state and have natural visual representations, inviting exploration by new students and professional mathematicians. The goal of this textbook is to present the fundamentals of graph theory to a wide range of readers. The book contains many significant recent results in graph theory, presented using up-to-date notation. The author included the shortest, most elegant, most intuitive proofs for modern and classic results while frequently presenting them in new ways. Major topics are introduced with practical applications that motivate their development, and which are illustrated with examples that show how to apply major theorems in practice. This includes the process of finding a brute force solution (case-checking) when an elegant solution is not apparent. With over 1200 exercises, internet resources (e.g., the OEIS for counting problems), helpful appendices, and a detailed guide to different course outlines, this book provides a versatile and convenient tool for the needs of instructors at a large variety of institutions.

The Fascinating World of Graph Theory

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Publisher : Princeton University Press
ISBN 13 : 0691175632
Total Pages : 338 pages
Book Rating : 4.38/5 ( download)

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Book Synopsis The Fascinating World of Graph Theory by : Arthur Benjamin

Download or read book The Fascinating World of Graph Theory written by Arthur Benjamin and published by Princeton University Press. This book was released on 2017-06-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813101636
Total Pages : 244 pages
Book Rating : 4.30/5 ( download)

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Book Synopsis Introduction to Graph Theory by : Koh Khee Meng

Download or read book Introduction to Graph Theory written by Koh Khee Meng and published by World Scientific Publishing Company. This book was released on 2007-03-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : American Mathematical Soc.
ISBN 13 : 1470451840
Total Pages : 205 pages
Book Rating : 4.44/5 ( download)

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Book Synopsis Graph Theory by : Daniel A. Marcus

Download or read book Graph Theory written by Daniel A. Marcus and published by American Mathematical Soc.. This book was released on 2020-02-04 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory presents a natural, reader-friendly way to learn some of the essential ideas of graph theory starting from first principles. The format is similar to the companion text, Combinatorics: A Problem Oriented Approach also by Daniel A. Marcus, in that it combines the features of a textbook with those of a problem workbook. The material is presented through a series of approximately 360 strategically placed problems with connecting text. This is supplemented by 280 additional problems that are intended to be used as homework assignments. Concepts of graph theory are introduced, developed, and reinforced by working through leading questions posed in the problems. This problem-oriented format is intended to promote active involvement by the reader while always providing clear direction. This approach figures prominently on the presentation of proofs, which become more frequent and elaborate as the book progresses. Arguments are arranged in digestible chunks and always appear along with concrete examples to keep the readers firmly grounded in their motivation. Spanning tree algorithms, Euler paths, Hamilton paths and cycles, planar graphs, independence and covering, connections and obstructions, and vertex and edge colorings make up the core of the book. Hall's Theorem, the Konig-Egervary Theorem, Dilworth's Theorem and the Hungarian algorithm to the optional assignment problem, matrices, and latin squares are also explored.

Graph Theory in America

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691194025
Total Pages : 320 pages
Book Rating : 4.28/5 ( download)

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Book Synopsis Graph Theory in America by : Robin Wilson

Download or read book Graph Theory in America written by Robin Wilson and published by Princeton University Press. This book was released on 2023-01-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: How a new mathematical field grew and matured in America Graph Theory in America focuses on the development of graph theory in North America from 1876 to 1976. At the beginning of this period, James Joseph Sylvester, perhaps the finest mathematician in the English-speaking world, took up his appointment as the first professor of mathematics at the Johns Hopkins University, where his inaugural lecture outlined connections between graph theory, algebra, and chemistry—shortly after, he introduced the word graph in our modern sense. A hundred years later, in 1976, graph theory witnessed the solution of the long-standing four color problem by Kenneth Appel and Wolfgang Haken of the University of Illinois. Tracing graph theory’s trajectory across its first century, this book looks at influential figures in the field, both familiar and less known. Whereas many of the featured mathematicians spent their entire careers working on problems in graph theory, a few such as Hassler Whitney started there and then moved to work in other areas. Others, such as C. S. Peirce, Oswald Veblen, and George Birkhoff, made excursions into graph theory while continuing their focus elsewhere. Between the main chapters, the book provides short contextual interludes, describing how the American university system developed and how graph theory was progressing in Europe. Brief summaries of specific publications that influenced the subject’s development are also included. Graph Theory in America tells how a remarkable area of mathematics landed on American soil, took root, and flourished.

Graphs, Networks and Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 3662038226
Total Pages : 597 pages
Book Rating : 4.22/5 ( download)

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Book Synopsis Graphs, Networks and Algorithms by : Dieter Jungnickel

Download or read book Graphs, Networks and Algorithms written by Dieter Jungnickel and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed

A Beginner's Guide to Graph Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645802
Total Pages : 266 pages
Book Rating : 4.09/5 ( download)

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Book Synopsis A Beginner's Guide to Graph Theory by : W.D. Wallis

Download or read book A Beginner's Guide to Graph Theory written by W.D. Wallis and published by Springer Science & Business Media. This book was released on 2010-05-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science) 2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded beginner's material Many additional changes, improvements, and corrections resulting from classroom use

Graphs and Matrices

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Publisher : Springer
ISBN 13 : 1447165691
Total Pages : 197 pages
Book Rating : 4.99/5 ( download)

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Book Synopsis Graphs and Matrices by : Ravindra B. Bapat

Download or read book Graphs and Matrices written by Ravindra B. Bapat and published by Springer. This book was released on 2014-09-19 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.

Graphs and Their Uses

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Publisher :
ISBN 13 : 9780883856000
Total Pages : 131 pages
Book Rating : 4.0X/5 ( download)

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Book Synopsis Graphs and Their Uses by : Oystein Ore

Download or read book Graphs and Their Uses written by Oystein Ore and published by . This book was released on 1963 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: