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Applied Graph Theory


Applied Graph Theory
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Applied Graph Theory In Computer Vision And Pattern Recognition


Applied Graph Theory In Computer Vision And Pattern Recognition
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Author : Abraham Kandel
language : en
Publisher: Springer
Release Date : 2007-04-11

Applied Graph Theory In Computer Vision And Pattern Recognition written by Abraham Kandel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-11 with Technology & Engineering categories.


Graph theory has strong historical roots in mathematics, especially in topology. Its birth is usually associated with the “four-color problem” posed by Francis Guthrie 1 in 1852, but its real origin probably goes back to the Seven Bridges of Konigsber ̈ g 2 problem proved by Leonhard Euler in 1736. A computational solution to these two completely different problems could be found after each problem was abstracted to the level of a graph model while ignoring such irrelevant details as country shapes or cross-river distances. In general, a graph is a nonempty set of points (vertices) and the most basic information preserved by any graph structure refers to adjacency relationships (edges) between some pairs of points. In the simplest graphs, edges do not have to hold any attributes, except their endpoints, but in more sophisticated graph structures, edges can be associated with a direction or assigned a label. Graph vertices can be labeled as well. A graph can be represented graphically as a drawing (vertex=dot,edge=arc),but,aslongaseverypairofadjacentpointsstaysconnected by the same edge, the graph vertices can be moved around on a drawing without changing the underlying graph structure. The expressive power of the graph models placing a special emphasis on c- nectivity between objects has made them the models of choice in chemistry, physics, biology, and other ?elds.



Graph Theory With Algorithms And Its Applications


Graph Theory With Algorithms And Its Applications
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Author : Santanu Saha Ray
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-02

Graph Theory With Algorithms And Its Applications written by Santanu Saha Ray and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-02 with Technology & Engineering categories.


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.



Applied Graph Theory


Applied Graph Theory
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Author : Clifford W. Marshall
language : en
Publisher: John Wiley & Sons
Release Date : 1971

Applied Graph Theory written by Clifford W. Marshall and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.


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.



Simulation For Applied Graph Theory Using Visual C


Simulation For Applied Graph Theory Using Visual C
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Author : Shaharuddin Salleh
language : en
Publisher: CRC Press
Release Date : 2016-08-19

Simulation For Applied Graph Theory Using Visual C written by Shaharuddin Salleh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-19 with Computers categories.


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.



Applied Graph Theory


Applied Graph Theory
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Author : Wai-Kai Chen
language : en
Publisher: Elsevier
Release Date : 2014-11-28

Applied Graph Theory written by Wai-Kai Chen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-28 with Mathematics categories.


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.



Fundamentals Of Graph Theory


Fundamentals Of Graph Theory
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Author : Allan Bickle
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-03-10

Fundamentals Of Graph Theory written by Allan Bickle and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-10 with Education categories.


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.



Graph Theory And Its Applications To Problems Of Society


Graph Theory And Its Applications To Problems Of Society
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Author : Fred S. Roberts
language : en
Publisher: SIAM
Release Date : 1978-01-01

Graph Theory And Its Applications To Problems Of Society written by Fred S. Roberts and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.


Explores modern topics in graph theory and its applications to problems in transportation, genetics, pollution, perturbed ecosystems, urban services, and social inequalities. The author presents both traditional and relatively atypical graph-theoretical topics to best illustrate applications.



Applying Graph Theory In Ecological Research


Applying Graph Theory In Ecological Research
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Author : Mark R.T. Dale
language : en
Publisher: Cambridge University Press
Release Date : 2017-11-09

Applying Graph Theory In Ecological Research written by Mark R.T. Dale and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-09 with Mathematics categories.


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



Topics In Intersection Graph Theory


Topics In Intersection Graph Theory
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Author : Terry A. McKee
language : en
Publisher: SIAM
Release Date : 1999-01-01

Topics In Intersection Graph Theory written by Terry A. McKee and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.


Finally there is a book that presents real applications of graph theory in a unified format. This book is the only source for an extended, concentrated focus on the theory and techniques common to various types of intersection graphs. It is a concise treatment of the aspects of intersection graphs that interconnect many standard concepts and form the foundation of a surprising array of applications to biology, computing, psychology, matrices, and statistics.