The Theory And Applications Of Graphs

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Theory and Application of Graphs

Author : Junming Xu
Publisher : Springer Science & Business Media
ISBN 13 : 9781402075407
Total Pages : 346 pages
Book Rating : 4.0/5 (754 download)

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Book Synopsis Theory and Application of Graphs by : Junming Xu

Download or read book Theory and Application of Graphs written by Junming Xu and published by Springer Science & Business Media. This book was released on 2003-07-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the spectrum of mathematics, graph theory which studies a mathe matical structure on a set of elements with a binary relation, as a recognized discipline, is a relative newcomer. In recent three decades the exciting and rapidly growing area of the subject abounds with new mathematical devel opments and significant applications to real-world problems. More and more colleges and universities have made it a required course for the senior or the beginning postgraduate students who are majoring in mathematics, computer science, electronics, scientific management and others. This book provides an introduction to graph theory for these students. The richness of theory and the wideness of applications make it impossi ble to include all topics in graph theory in a textbook for one semester. All materials presented in this book, however, I believe, are the most classical, fundamental, interesting and important. The method we deal with the mate rials is to particularly lay stress on digraphs, regarding undirected graphs as their special cases. My own experience from teaching out of the subject more than ten years at University of Science and Technology of China (USTC) shows that this treatment makes hardly the course di:fficult, but much more accords with the essence and the development trend of the subject.

Graph Theory with Applications

Author : John Adrian Bondy
Publisher : London : Macmillan Press
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Graph Theory with Applications by : John Adrian Bondy

Download or read book Graph Theory with Applications written by John Adrian Bondy and published by London : Macmillan Press. This book was released on 1976 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph Theory Applications

Author : L.R. Foulds
Publisher : Springer Science & Business Media
ISBN 13 : 1461209331
Total Pages : 389 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Graph Theory Applications by : L.R. Foulds

Download or read book Graph Theory Applications written by L.R. Foulds and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Theory and Applications of Graphs

Author : Y. Alavi
Publisher : Springer
ISBN 13 : 3540359125
Total Pages : 650 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Theory and Applications of Graphs by : Y. Alavi

Download or read book Theory and Applications of Graphs written by Y. Alavi and published by Springer. This book was released on 2006-11-14 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Graph Theory and Its Applications, Second Edition

Author : Jonathan L. Gross
Publisher : CRC Press
ISBN 13 : 158488505X
Total Pages : 799 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Graph Theory and Its Applications, Second Edition by : Jonathan L. Gross

Download or read book Graph Theory and Its Applications, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.

Graph Theory with Applications to Engineering and Computer Science

Author : Narsingh Deo
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120301450
Total Pages : 478 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Graph Theory with Applications to Engineering and Computer Science by : Narsingh Deo

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.

Graph Theory with Algorithms and its Applications

Author : Santanu Saha Ray
Publisher : Springer Science & Business Media
ISBN 13 : 8132207505
Total Pages : 223 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Graph Theory with Algorithms and its Applications by : Santanu Saha Ray

Download or read book Graph Theory with Algorithms and its Applications written by Santanu Saha Ray and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.

Operator Calculus On Graphs: Theory And Applications In Computer Science

Author : George Stacey Staples
Publisher : World Scientific
ISBN 13 : 1908977574
Total Pages : 428 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Operator Calculus On Graphs: Theory And Applications In Computer Science by : George Stacey Staples

Download or read book Operator Calculus On Graphs: Theory And Applications In Computer Science written by George Stacey Staples and published by World Scientific. This book was released on 2012-02-23 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.

Research Trends in Graph Theory and Applications

Author : Daniela Ferrero
Publisher : Springer Nature
ISBN 13 : 3030779831
Total Pages : 150 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Research Trends in Graph Theory and Applications by : Daniela Ferrero

Download or read book Research Trends in Graph Theory and Applications written by Daniela Ferrero and published by Springer Nature. This book was released on 2021-09-06 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop for Women in Graph Theory and Applications was held at the Institute for Mathematics and Its Applications (University of Minnesota, Minneapolis) on August 19-23, 2019. During this five-day workshop, 42 participants performed collaborative research, in six teams, each focused on open problems in different areas of graph theory and its applications. The research work of each team was led by two experts in the corresponding area, who prior to the workshop, carefully selected relevant and meaningful open problems that would yield high-quality research and results of strong impact. As a result, all six teams have made significant contributions to several open problems in their respective areas. The workshop led to the creation of the Women in Graph Theory and Applications Research Collaboration Network, which provided the framework to continue collaborating and to produce this volume. This book contains six chapters, each of them on one of the different areas of research at the Workshop for Women in Graph Theory and Applications, and written by participants of each team.

Digraphs

Author : Jorgen Bang-Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 1447138864
Total Pages : 769 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Digraphs by : Jorgen Bang-Jensen

Download or read book Digraphs written by Jorgen Bang-Jensen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Graphs and Applications

Author : Joan M. Aldous
Publisher : Springer Science & Business Media
ISBN 13 : 9781852332594
Total Pages : 502 pages
Book Rating : 4.3/5 (325 download)

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Book Synopsis Graphs and Applications by : Joan M. Aldous

Download or read book Graphs and Applications written by Joan M. Aldous and published by Springer Science & Business Media. This book was released on 2003-02-10 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics is one of the fastest growing areas in mathematics today with an ever-increasing number of courses in schools and universities. Graphs and Applications is based on a highly successful Open University course and the authors have paid particular attention to the presentation, clarity and arrangement of the material, making it ideally suited for independent study and classroom use. Includes a large number of examples, problems and exercises.

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

Author : Jason J. Molitierno
Publisher : CRC Press
ISBN 13 : 1439863393
Total Pages : 425 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs by : Jason J. Molitierno

Download or read book Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs written by Jason J. Molitierno and published by CRC Press. This book was released on 2016-04-19 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o

Graph Theory

Author : Karin R Saoub
Publisher : CRC Press
ISBN 13 : 0429779887
Total Pages : 421 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Graph Theory by : Karin R Saoub

Download or read book Graph Theory written by Karin R Saoub and published by CRC Press. This book was released on 2021-03-17 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bipartite Graphs and Their Applications

Author : Armen S. Asratian
Publisher : Cambridge University Press
ISBN 13 : 9780521593458
Total Pages : 283 pages
Book Rating : 4.5/5 (934 download)

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Book Synopsis Bipartite Graphs and Their Applications by : Armen S. Asratian

Download or read book Bipartite Graphs and Their Applications written by Armen S. Asratian and published by Cambridge University Press. This book was released on 1998-07-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, Chemistry, Communication Networks and Computer Science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory.

A First Course in Graph Theory

Author : Gary Chartrand
Publisher : Courier Corporation
ISBN 13 : 0486297306
Total Pages : 466 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis A First Course in Graph Theory by : Gary Chartrand

Download or read book A First Course in Graph Theory written by Gary Chartrand and published by Courier Corporation. This book was released on 2013-05-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fascinating World of Graph Theory

Author : Arthur Benjamin
Publisher : Princeton University Press
ISBN 13 : 0691175632
Total Pages : 338 pages
Book Rating : 4.6/5 (911 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.

Graph Theory and Its Engineering Applications

Author : Wai-Kai Chen
Publisher : World Scientific
ISBN 13 : 9789810218591
Total Pages : 716 pages
Book Rating : 4.2/5 (185 download)

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Book Synopsis Graph Theory and Its Engineering Applications by : Wai-Kai Chen

Download or read book Graph Theory and Its Engineering Applications written by Wai-Kai Chen and published by World Scientific. This book was released on 1997 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intuitive diagrammatic nature of graphs makes them useful in modelling systems in engineering problems. This text gives an account of material related to such applications, including minimal cost flows and rectangular dissection and layouts. A major th