Topics In Algorithmic Graph Theory


Topics In Algorithmic Graph Theory
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Topics In Algorithmic Graph Theory


Topics In Algorithmic Graph Theory
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Author : Lowell W. Beineke
language : en
Publisher: Cambridge University Press
Release Date : 2021-05-31

Topics In Algorithmic Graph Theory written by Lowell W. Beineke 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 2021-05-31 with Mathematics categories.


Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.



Algorithmic Graph Theory And Perfect Graphs


Algorithmic Graph Theory And Perfect Graphs
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Author : Martin Charles Golumbic
language : en
Publisher: Elsevier
Release Date : 2014-05-10

Algorithmic Graph Theory And Perfect Graphs written by Martin Charles Golumbic and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Algorithmic Graph Theory and Perfect Graphs provides an introduction to graph theory through practical problems. This book presents the mathematical and algorithmic properties of special classes of perfect graphs. Organized into 12 chapters, this book begins with an overview of the graph theoretic notions and the algorithmic design. This text then examines the complexity analysis of computer algorithm and explains the differences between computability and computational complexity. Other chapters consider the parameters and properties of a perfect graph and explore the class of perfect graphs known as comparability graph or transitively orientable graphs. This book discusses as well the two characterizations of triangulated graphs, one algorithmic and the other graph theoretic. The final chapter deals with the method of performing Gaussian elimination on a sparse matrix wherein an arbitrary choice of pivots may result in the filling of some zero positions with nonzeros. This book is a valuable resource for mathematicians and computer scientists.



Algorithmic Graph Theory


Algorithmic Graph Theory
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Author : Alan Gibbons
language : en
Publisher: Cambridge University Press
Release Date : 1985-06-27

Algorithmic Graph Theory written by Alan Gibbons 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 1985-06-27 with Computers categories.


An introduction to pure and applied graph theory with an emphasis on algorithms and their complexity.



Graph Theory With Applications To Algorithms And Computer Science


Graph Theory With Applications To Algorithms And Computer Science
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Author : Y. Alavi
language : en
Publisher: Wiley-Interscience
Release Date : 1985-10-02

Graph Theory With Applications To Algorithms And Computer Science written by Y. Alavi and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-10-02 with Mathematics categories.


An applications-oriented text detailing the latest research in graph theory and computer science. Leading contributors cover such important topics as: tiling problems and graph factors; partitioning the nodes of a graph; diameter vulnerability in networks; edge-disjoint Hamiltonian cycles; the cochromatic number of graphs in a switching sequence; and more.



Graphs Algorithms And Optimization


Graphs Algorithms And Optimization
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Author : William Kocay
language : en
Publisher: CRC Press
Release Date : 2004-11-29

Graphs Algorithms And Optimization written by William Kocay and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-29 with Mathematics categories.


Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.



Handbook Of Graph Theory


Handbook Of Graph Theory
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2003-12-29

Handbook Of Graph Theory written by Jonathan L. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Computers categories.


The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach



Applied And Algorithmic Graph Theory


Applied And Algorithmic Graph Theory
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Author : Gary Chartrand
language : en
Publisher: McGraw-Hill Companies
Release Date : 1993

Applied And Algorithmic Graph Theory written by Gary Chartrand and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Graph theory categories.


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.



Algorithmic Graph Theory And Perfect Graphs


Algorithmic Graph Theory And Perfect Graphs
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Author : Martin C. Golumbic
language : en
Publisher:
Release Date : 1988

Algorithmic Graph Theory And Perfect Graphs written by Martin C. Golumbic and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




Algebraic Graph Algorithms


Algebraic Graph Algorithms
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Author : K. Erciyes
language : en
Publisher: Springer Nature
Release Date : 2021-11-17

Algebraic Graph Algorithms written by K. Erciyes and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-17 with Computers categories.


This textbook discusses the design and implementation of basic algebraic graph algorithms, and algebraic graph algorithms for complex networks, employing matroids whenever possible. The text describes the design of a simple parallel matrix algorithm kernel that can be used for parallel processing of algebraic graph algorithms. Example code is presented in pseudocode, together with case studies in Python and MPI. The text assumes readers have a background in graph theory and/or graph algorithms.



Topics In Graph Theory


Topics In Graph Theory
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Author : Wilfried Imrich
language : en
Publisher: CRC Press
Release Date : 2008-10-27

Topics In Graph Theory written by Wilfried Imrich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-27 with Mathematics categories.


From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,