Graph Algorithms And Applications 1

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Digraphs
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Author : Jorgen Bang-Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Digraphs written by Jorgen Bang-Jensen 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 2013-06-29 with Mathematics categories.
Graph theory is a very popular area of discrete mathematics with not only numerous theoretical developments, but also countless applications to prac tical problems. As a research area, graph theory is still relatively young, but it is maturing rapidly with many deep results having been discovered over the last couple of decades. The theory of graphs can be roughly partitioned into two branches: the areas of undirected graphs and directed graphs (digraphs). Even though both areas have numerous important applications, for various reasons, undirected graphs have been studied much more extensively than directed graphs. One of the reasons is that undirected graphs form in a sense a special class of directed graphs (symmetric digraphs) and hence problems that can be for mulated for both directed and undirected graphs are often easier for the latter. Another reason is that, unlike for the case of undirected graphs, for which there are several important books covering both classical and recent results, no previous book covers more than a small fraction of the results obtained on digraphs within the last 25 years. Typically, digraphs are consid ered only in one chapter or by a few elementary results scattered throughout the book. Despite all this, the theory of directed graphs has developed enormously within the last three decades. There is an extensive literature on digraphs (more than 3000 papers). Many of these papers contain, not only interesting theoretical results, but also important algorithms as well as applications.
A Guide To Graph Colouring
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Author : R.M.R. Lewis
language : en
Publisher: Springer
Release Date : 2015-10-26
A Guide To Graph Colouring written by R.M.R. Lewis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-26 with Computers categories.
This book treats graph colouring as an algorithmic problem, with a strong emphasis on practical applications. The author describes and analyses some of the best-known algorithms for colouring arbitrary graphs, focusing on whether these heuristics can provide optimal solutions in some cases; how they perform on graphs where the chromatic number is unknown; and whether they can produce better solutions than other algorithms for certain types of graphs, and why. The introductory chapters explain graph colouring, and bounds and constructive algorithms. The author then shows how advanced, modern techniques can be applied to classic real-world operational research problems such as seating plans, sports scheduling, and university timetabling. He includes many examples, suggestions for further reading, and historical notes, and the book is supplemented by a website with an online suite of downloadable code. The book will be of value to researchers, graduate students, and practitioners in the areas of operations research, theoretical computer science, optimization, and computational intelligence. The reader should have elementary knowledge of sets, matrices, and enumerative combinatorics.
Graphs Algorithms And Optimization
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Author : William Kocay
language : en
Publisher: CRC Press
Release Date : 2017-09-20
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 2017-09-20 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.
Graph Algorithms In The Language Of Linear Algebra
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Author : Jeremy Kepner
language : en
Publisher: SIAM
Release Date : 2011-01-01
Graph Algorithms In The Language Of Linear Algebra written by Jeremy Kepner and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.
Graph Algorithms And Applications I
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Author : Roberto Tamassia
language : en
Publisher: World Scientific
Release Date : 2002
Graph Algorithms And Applications I written by Roberto Tamassia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
This book contains volumes 1OCo3 of the Journal of Graph Algorithms and Applications (JGAA) . Topics of interest include design and analysis of graph algorithms, experiences with graph algorithms, and applications of graph algorithms. JGAA is supported by distinguished advisory and editorial boards, has high scientific standards, and takes advantage of current electronic document technology. The electronic version of JGAA is available on the Web at http: //www.cs.brown.edu/publications/jgaa/. Contents: Volume 1: 2-Layer Straightline Crossing Minimization: Performance of Exact and Heuristic Algorithms (M Jnger & P Mutzel); Optimal Algorithms to Embed Trees in a Point Set (P Bose et al.); Low-degree Graph Partitioning via Local Search with Applications to Constraint Satisfaction, Max Cut, and Coloring (M M Halldrsson & H C Lau); Volume 2: Algorithms for Cluster Busting in Anchored Graph Drawing (K A Lyons et al.); A Broadcasting Algorithm with Time and Message Optimum on Arrangement Graphs (L Bai et al.); A Visibility Representation for Graphs in Three Dimensions (P Bose et al.); Scheduled Hot-Potato Routing (J Naor et al.); Treewidth and Minimum Fill-in on d -trapezoid Graphs (H L Bodlaender et al.); Memory Paging for Connectivity and Path Problems in Graphs (E Feuerstein & A Marchetti-Spaccamela); New Lower Bounds for Orthogonal Drawings (T C Biedl); Rectangle-visibility Layouts of Unions and Products of Trees (A M Dean & J P Hutchinson); Volume 3: Edge-Coloring and f -Coloring for Various Classes of Graphs (X Zhou & T Nishizeki); Experimental Comparison of Graph Drawing Algorithms for Cubic Graphs (T Calamoneri et al.); Subgraph Isomorphism in Planar Graphs and Related Problems (D Eppstein); Guest Editors'' Introduction (G Di Battista & P Mutzel); Drawing Clustered Graphs on an Orthogonal Grid (P Eades et al.); A Linear Algorithm for Bend-Optimal Orthogonal Drawings of Triconnected Cubic Plane Graphs (M S Rahman et al.); Bounds for Orthogonal 3-D Graph Drawing (T Biedl et al.); Algorithms for Incremental Orthogonal Graph Drawing in Three Dimensions (A Papakostas & I G Tollis). Readership: Researchers and professionals in theoretical computer science, computer engineering and combinatorics & graph theory."
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.
Graphs Algorithms And Optimization Second Edition
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Author : William Kocay
language : en
Publisher: CRC Press
Release Date : 2016-11-03
Graphs Algorithms And Optimization Second Edition 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 2016-11-03 with Mathematics categories.
The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?
Graph Theory
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Author : Geir Agnarsson
language : en
Publisher: Pearson
Release Date : 2007
Graph Theory written by Geir Agnarsson and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses. Once considered an "unimportant" branch of topology, graph theory has come into its own through many important contributions to a wide range of fields -- and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.
A Java Library Of Graph Algorithms And Optimization
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Author : Hang T. Lau
language : en
Publisher: CRC Press
Release Date : 2006-10-20
A Java Library Of Graph Algorithms And Optimization written by Hang T. Lau and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-20 with Computers categories.
Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for
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Author : Vladimir A. Evstigneev
language : zh-CN
Publisher:
Release Date : 2006
written by Vladimir A. Evstigneev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Algorithms categories.
中国科学院科学出版基金资助出版