Applied Graph Theory

Author : Clifford W. Marshall
Publisher : John Wiley & Sons
Page : 346 pages
File Size : 48,6 Mb
Release : 1971
Category : Mathematics
ISBN : UOM:39015038950286

Get Book

Applied Graph Theory by Clifford W. Marshall Pdf

Basic concepts. Basic definitions of linear graphs. Edge sequenses and conectedness. Matrix representation of graphs. special graphs and subgraphs. Connectivity and independence in graphs. Planar graphs. Definitions and concepts of planar graphs. Straight line representation of planar graphs. Criteria for planar graphs. Determination of planarity. Hamilton graphs. Definitions and basic concepts. Cubical graphs. Additional results on Hamilton graphs. Graph coloring. Combinatorial theory. Radom graphs. Application in operations research. Applications in social science and psychology. Applications in physics.

Author : Wai-Kai Chen
Publisher : Elsevier
Page : 559 pages
File Size : 53,8 Mb
Release : 2014-11-28
Category : Mathematics
ISBN : 9781483164151

Get Book

Applied Graph Theory by Wai-Kai Chen Pdf

Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.

Author : Santanu Saha Ray
Publisher : Springer Science & Business Media
Page : 223 pages
File Size : 40,7 Mb
Release : 2012-11-02
Category : Technology & Engineering
ISBN : 9788132207504

Get Book

Graph Theory with Algorithms and its Applications by Santanu Saha Ray Pdf

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.

Author : Abraham Kandel,Horst Bunke,Mark Last
Publisher : Springer
Page : 266 pages
File Size : 44,8 Mb
Release : 2007-04-11
Category : Technology & Engineering
ISBN : 9783540680208

Get Book

Applied Graph Theory in Computer Vision and Pattern Recognition by Abraham Kandel,Horst Bunke,Mark Last Pdf

This book presents novel graph-theoretic methods for complex computer vision and pattern recognition tasks. It presents the application of graph theory to low-level processing of digital images, presents graph-theoretic learning algorithms for high-level computer vision and pattern recognition applications, and provides detailed descriptions of several applications of graph-based methods to real-world pattern recognition tasks.

Author : Shaharuddin Salleh,Zuraida Abal Abas
Publisher : CRC Press
Page : 354 pages
File Size : 47,7 Mb
Release : 2016-08-19
Category : Computers
ISBN : 9781498721035

Get Book

Simulation for Applied Graph Theory Using Visual C++ by Shaharuddin Salleh,Zuraida Abal Abas Pdf

The tool for visualization is Microsoft Visual C++. This popular software has the standard C++ combined with the Microsoft Foundation Classes (MFC) libraries for Windows visualization. This book explains how to create a graph interactively, solve problems in graph theory with minimum number of C++ codes, and provide friendly interfaces that makes learning the topics an interesting one. Each topic in the book comes with working Visual C++ codes which can easily be adapted as solutions to various problems in science and engineering.

Author : Mark R.T. Dale
Publisher : Cambridge University Press
Page : 355 pages
File Size : 53,8 Mb
Release : 2017-11-09
Category : Mathematics
ISBN : 9781107089310

Get Book

Applying Graph Theory in Ecological Research by Mark R.T. Dale Pdf

This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

Author : Allan Bickle
Publisher : American Mathematical Soc.
Page : 336 pages
File Size : 55,8 Mb
Release : 2020-03-10
Category : Education
ISBN : 9781470453428

Get Book

Fundamentals of Graph Theory by Allan Bickle Pdf

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.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 51,5 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

Get Book

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.

Author : Christopher H Griffin
Publisher : World Scientific
Page : 305 pages
File Size : 50,7 Mb
Release : 2023-08-08
Category : Mathematics
ISBN : 9789811273124

Get Book

Applied Graph Theory: An Introduction With Graph Optimization And Algebraic Graph Theory by Christopher H Griffin Pdf

This book serves as an introduction to graph theory and its applications. It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) introduction to graph theory while also discussing applications of the results for solving real-world problems of interest. The book is divided into four parts. Part 1 covers the combinatorial aspects of graph theory including a discussion of common vocabulary, a discussion of vertex and edge cuts, Eulerian tours, Hamiltonian paths and a characterization of trees. This leads to Part 2, which discusses common combinatorial optimization problems. Spanning trees, shortest path problems and matroids are all discussed, as are maximum flow problems. Part 2 ends with a discussion of graph coloring and a proof of the NP-completeness of the coloring problem. Part 3 introduces the reader to algebraic graph theory, and focuses on Markov chains, centrality computation (e.g., eigenvector centrality and page rank), as well as spectral graph clustering and the graph Laplacian. Part 4 contains additional material on linear programming, which is used to provide an alternative analysis of the maximum flow problem. Two appendices containing prerequisite material on linear algebra and probability theory are also provided.

Author : Jonathan L. Gross,Jay Yellen,Ping Zhang
Publisher : CRC Press
Page : 1634 pages
File Size : 41,8 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781439880180

Get Book

Handbook of Graph Theory, Second Edition by Jonathan L. Gross,Jay Yellen,Ping Zhang Pdf

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 predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Author : John Adrian Bondy,U. S. R. Murty
Publisher : London : Macmillan Press
Page : 290 pages
File Size : 46,6 Mb
Release : 1976
Category : Mathematics
ISBN : UCSD:31822011897709

Get Book

Graph Theory with Applications by John Adrian Bondy,U. S. R. Murty Pdf

Author : Pal, Madhumangal,Samanta, Sovan,Pal, Anita
Publisher : IGI Global
Page : 591 pages
File Size : 52,7 Mb
Release : 2019-08-30
Category : Computers
ISBN : 9781522593829

Get Book

Handbook of Research on Advanced Applications of Graph Theory in Modern Society by Pal, Madhumangal,Samanta, Sovan,Pal, Anita Pdf

In the world of mathematics and computer science, technological advancements are constantly being researched and applied to ongoing issues. Setbacks in social networking, engineering, and automation are themes that affect everyday life, and researchers have been looking for new techniques in which to solve these challenges. Graph theory is a widely studied topic that is now being applied to real-life problems. The Handbook of Research on Advanced Applications of Graph Theory in Modern Society is an essential reference source that discusses recent developments on graph theory, as well as its representation in social networks, artificial neural networks, and many complex networks. The book aims to study results that are useful in the fields of robotics and machine learning and will examine different engineering issues that are closely related to fuzzy graph theory. Featuring research on topics such as artificial neural systems and robotics, this book is ideally designed for mathematicians, research scholars, practitioners, professionals, engineers, and students seeking an innovative overview of graphic theory.

Author : Gary Chartrand,Ortrud R. Oellermann
Publisher : McGraw-Hill Companies
Page : 424 pages
File Size : 44,6 Mb
Release : 1993
Category : Mathematics
ISBN : UCSC:32106010895685

Get Book

Applied and Algorithmic Graph Theory by Gary Chartrand,Ortrud R. Oellermann Pdf

Designed as a bridge to cross the gap between mathematics and computer science, and planned as the mathematics base for computer science students, this maths text is designed to help the student develop an understanding of the concept of an efficient algorithm.

Author : Beril Sirmacek
Publisher : BoD – Books on Demand
Page : 196 pages
File Size : 52,8 Mb
Release : 2018-01-31
Category : Mathematics
ISBN : 9789535137726

Get Book

Graph Theory by Beril Sirmacek Pdf

This book is prepared as a combination of the manuscripts submitted by respected mathematicians and scientists around the world. As an editor, I truly enjoyed reading each manuscript. Not only will the methods and explanations help you to understand more about graph theory, but I also hope you will find it joyful to discover ways that you can apply graph theory in your scientific field. I believe the book can be read from the beginning to the end at once. However, the book can also be used as a reference guide in order to turn back to it when it is needed. I have to mention that this book assumes the reader to have a basic knowledge about graph theory. The very basics of the theory and terms are not explained at the beginner level. I hope this book will support many applied and research scientists from different scientific fields.

Author : C. Vasudev
Publisher : New Age International
Page : 25 pages
File Size : 47,8 Mb
Release : 2006
Category : Graph theory
ISBN : 9788122417371

Get Book

Graph Theory with Applications by C. Vasudev Pdf

Over 1500 problems are used to illustrate concepts, related to different topics, and introduce applications.Over 1000 exercises in the text with many different types of questions posed. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. Problem sets are stated clearly and unambiguously, and all are carefully graded for various levels of difficulty. This text has been carefully designed for flexible use.