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Author : John Adrian Bondy
Publisher : Toronto ; Orlando : Academic Press
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.3/5 (91 download)
Download or read book Progress in Graph Theory written by John Adrian Bondy and published by Toronto ; Orlando : Academic Press. This book was released on 1984 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. R. Kulli
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)
Download or read book Advances in Graph Theory written by V. R. Kulli and published by . This book was released on 1991 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robin Wilson
Publisher : Princeton University Press
ISBN 13 : 0691240655
Total Pages : 321 pages
Book Rating : 4.6/5 (912 download)
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.
Author : J. Turner
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)
Download or read book A SURVEY OF PROGRESS IN GRAPH THEORY IN THE SOVIET UNION. PT. 2 written by J. Turner and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Arthur Benjamin
Publisher : Princeton University Press
ISBN 13 : 0691175632
Total Pages : 338 pages
Book Rating : 4.6/5 (911 download)
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.
Author : Yoomi Rho
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (89 download)
Download or read book Progress on Three Problems in Graph Theory written by Yoomi Rho and published by . This book was released on 1998 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 1439880190
Total Pages : 1606 pages
Book Rating : 4.4/5 (398 download)
Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2013-12-17 with total page 1606 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 prede
Author : James Turner
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (44 download)
Download or read book A Survey of Progress in Graph Theory in the Soviet Union written by James Turner and published by . This book was released on 1970 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gary Chartrand
Publisher : CRC Press
ISBN 13 : 1003801080
Total Pages : 365 pages
Book Rating : 4.0/5 (38 download)
Download or read book Graphs & Digraphs written by Gary Chartrand and published by CRC Press. This book was released on 2024-01-23 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory. This classic text, widely popular among students and instructors alike for decades, is thoroughly streamlined in this new, seventh edition, to present a text consistent with contemporary expectations. Changes and updates to this edition include: A rewrite of four chapters from the ground up Streamlining by over a third for efficient, comprehensive coverage of graph theory Flexible structure with foundational Chapters 1–6 and customizable topics in Chapters 7–11 Incorporation of the latest developments in fundamental graph theory Statements of recent groundbreaking discoveries, even if proofs are beyond scope Completely reorganized chapters on traversability, connectivity, coloring, and extremal graph theory to reflect recent developments The text remains the consummate choice for an advanced undergraduate level or introductory graduate-level course exploring the subject’s fascinating history, while covering a host of interesting problems and diverse applications. Our major objective is to introduce and treat graph theory as the beautiful area of mathematics we have always found it to be. We have striven to produce a reader-friendly, carefully written book that emphasizes the mathematical theory of graphs, in all their forms. While a certain amount of mathematical maturity, including a solid understanding of proof, is required to appreciate the material, with a small number of exceptions this is the only pre-requisite. In addition, owing to the exhilarating pace of progress in the field, there have been countless developments in fundamental graph theory ever since the previous edition, and many of these discoveries have been incorporated into the book. Of course, some of the proofs of these results are beyond the scope of the book, in which cases we have only included their statements. In other cases, however, these new results have led us to completely reorganize our presentation. Two examples are the chapters on coloring and extremal graph theory.
Author : Narsingh Deo
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120301450
Total Pages : 478 pages
Book Rating : 4.3/5 (14 download)
Download or read book Graph Theory with Applications to Engineering and Computer Science written by Narsingh Deo and published by PHI Learning Pvt. Ltd.. This book was released on 1974 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers. This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science. Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.
Author :
Publisher : Elsevier
ISBN 13 : 0080867669
Total Pages : 305 pages
Book Rating : 4.0/5 (88 download)
Download or read book Advances in Graph Theory written by and published by Elsevier. This book was released on 2011-10-10 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Graph Theory
Author : János Pach
Publisher : Springer Science & Business Media
ISBN 13 : 1461401100
Total Pages : 610 pages
Book Rating : 4.4/5 (614 download)
Download or read book Thirty Essays on Geometric Graph Theory written by János Pach and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.
Author : Martin Aigner
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.3/5 (91 download)
Download or read book Graph Theory written by Martin Aigner and published by . This book was released on 1987 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.H. Zemanian
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (833 download)
Download or read book A survey of progress in graph theory in the Soviet Union. Symposium Philadelphia, 1970 written by A.H. Zemanian and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : W. D. Wallis
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642525
Total Pages : 172 pages
Book Rating : 4.6/5 (425 download)
Download or read book Magic Graphs written by W. D. Wallis and published by Springer Science & Business Media. This book was released on 2001 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magic squares, their origins lost in antiquity, are among the more popular mathematical recreations. Over the years a number of generalizations have been proposed, going back in the last century to Sedl cek (early 1960s) who asked whether "magic" ideas could be applied to graphs. Around the same time Kotzig and Rosa formulated the study of graph labelings, or valuations as they were first called. In the last decade, there has been a resurgence of interest in "magic labelings" and other graph valuations, e.g., graceful labelings, due to a number of interesting results that have applications and are related to the problems of decomposing graphs into trees. Trees remain an elusive subject. From the pure mathematics viewpoint, no progress has been made in answering the question: Does every tree have an edge-magic total labeling? However, the corresponding problem for vertex-magic total labelings has been solved, and the details are examined in this volume. The book also contains a number of recent constructions of magic graphs and verifications that families of graphs are magic. Key features: * short historical account of the subject * concise, self-contained text, systematic exposition from basic topics in graph theory to current research * applications of theorems from graph theory and interesting counting arguments * exercises, research problems covering a range of difficulties, extensive bibliography, index * solutions to many exercises This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labeling and its applications to a number of new areas. It may serve as a graduate text for a special topics seminar in mathematics or computer science, or as a professional text for the researcher.
Author : Michael A. Henning
Publisher : Springer Nature
ISBN 13 : 3031038576
Total Pages : 782 pages
Book Rating : 4.0/5 (31 download)
Download or read book Graph and Network Theory written by Michael A. Henning and published by Springer Nature. This book was released on 2022-06-03 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers a diversity of topics in graph and network theory, both from a theoretical standpoint, and from an applied modelling point of view. Mathematica® is used to demonstrate much of the modelling aspects. Graph theory and model building tools are developed in tandem with effective techniques for solving practical problems via computer implementation. The book is designed with three primary readerships in mind. Individual syllabi or suggested sequences for study are provided for each of three student audiences: mathematics, applied mathematics/operations research, and computer science. In addition to the visual appeal of each page, the text contains an abundance of gems. Most chapters open with real-life problem descriptions which serve as motivation for the theoretical development of the subject matter. Each chapter concludes with three different sets of exercises. The first set of exercises are standard and geared toward the more mathematically inclined reader. Many of these are routine exercises, designed to test understanding of the material in the text, but some are more challenging. The second set of exercises is earmarked for the computer technologically savvy reader and offer computer exercises using Mathematica. The final set consists of larger projects aimed at equipping those readers with backgrounds in the applied sciences to apply the necessary skills learned in the chapter in the context of real-world problem solving. Additionally, each chapter offers biographical notes as well as pictures of graph theorists and mathematicians who have contributed significantly to the development of the results documented in the chapter. These notes are meant to bring the topics covered to life, allowing the reader to associate faces with some of the important discoveries and results presented. In total, approximately 100 biographical notes are presented throughout the book. The material in this book has been organized into three distinct parts, each with a different focus. The first part is devoted to topics in network optimization, with a focus on basic notions in algorithmic complexity and the computation of optimal paths, shortest spanning trees, maximum flows and minimum-cost flows in networks, as well as the solution of network location problems. The second part is devoted to a variety of classical problems in graph theory, including problems related to matchings, edge and vertex traversal, connectivity, planarity, edge and vertex coloring, and orientations of graphs. Finally, the focus in the third part is on modern areas of study in graph theory, covering graph domination, Ramsey theory, extremal graph theory, graph enumeration, and application of the probabilistic method.
Author :
Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.F/5 ( download)
Download or read book Recent Advances in Graph Theory written by and published by . This book was released on 1975 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
