Graph Algorithms In The Language Of Linear Algebra PDF Download
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| Author | : Jeremy Kepner |
| Publisher | : SIAM |
| Total Pages | : 388 |
| Release | : 2011-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719918 |
Download Graph Algorithms in the Language of Linear Algebra Book in PDF, ePub and Kindle
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.
| Author | : Jeremy Kepner |
| Publisher | : SIAM |
| Total Pages | : 372 |
| Release | : 2011-08-04 |
| Genre | : Mathematics |
| ISBN | : 0898719909 |
Download Graph Algorithms in the Language of Linear Algebra Book in PDF, ePub and Kindle
An introduction to graph algorithms accessible to those without a computer science background.
| Author | : Dieter Jungnickel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 597 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 3662038226 |
Download Graphs, Networks and Algorithms Book in PDF, ePub and Kindle
Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed
| Author | : Hang T. Lau |
| Publisher | : CRC Press |
| Total Pages | : 401 |
| Release | : 2006-10-20 |
| Genre | : Computers |
| ISBN | : 1584887192 |
Download A Java Library of Graph Algorithms and Optimization Book in PDF, ePub and Kindle
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
| Author | : Alan George |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 254 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461383692 |
Download Graph Theory and Sparse Matrix Computation Book in PDF, ePub and Kindle
When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer, however, efficiency demands that every possible advantage be exploited. The articles in this volume are based on recent research on sparse matrix computations. This volume looks at graph theory as it connects to linear algebra, parallel computing, data structures, geometry, and both numerical and discrete algorithms. The articles are grouped into three general categories: graph models of symmetric matrices and factorizations, graph models of algorithms on nonsymmetric matrices, and parallel sparse matrix algorithms. This book will be a resource for the researcher or advanced student of either graphs or sparse matrices; it will be useful to mathematicians, numerical analysts and theoretical computer scientists alike.
| Author | : Michel Gondran |
| Publisher | : |
| Total Pages | : 680 |
| Release | : 1984-03-22 |
| Genre | : Mathematics |
| ISBN | : |
Download Graphs and Algorithms Book in PDF, ePub and Kindle
Generalities about graphs. The shortest path problem in a graph. Path algebras. Trees and arborescences. Flows and transportation networks. Flows with gains. Multicommodity flows. Matchings and b-matchings. Eulerian and hamiltonian walks. Matroids. Non-polynomial problems. Branch and bound algorithms. Approximate algorithms. Linear programming. Integer linear programming. Lagrangean relaxation and solving the dual problem. Dynamic programming. Minimum ratio problems.
| Author | : Martin Charles Golumbic |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 0387250360 |
Download Graph Theory, Combinatorics and Algorithms Book in PDF, ePub and Kindle
Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.
| Author | : Kenneth Lange |
| Publisher | : SIAM |
| Total Pages | : 227 |
| Release | : 2020-05-04 |
| Genre | : Mathematics |
| ISBN | : 1611976170 |
Download Algorithms from THE BOOK Book in PDF, ePub and Kindle
Algorithms are a dominant force in modern culture, and every indication is that they will become more pervasive, not less. The best algorithms are undergirded by beautiful mathematics. This text cuts across discipline boundaries to highlight some of the most famous and successful algorithms. Readers are exposed to the principles behind these examples and guided in assembling complex algorithms from simpler building blocks. Written in clear, instructive language within the constraints of mathematical rigor, Algorithms from THE BOOK includes a large number of classroom-tested exercises at the end of each chapter. The appendices cover background material often omitted from undergraduate courses. Most of the algorithm descriptions are accompanied by Julia code, an ideal language for scientific computing. This code is immediately available for experimentation. Algorithms from THE BOOK is aimed at first-year graduate and advanced undergraduate students. It will also serve as a convenient reference for professionals throughout the mathematical sciences, physical sciences, engineering, and the quantitative sectors of the biological and social sciences.
| Author | : Stephen Boyd |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2018-06-07 |
| Genre | : Business & Economics |
| ISBN | : 1316518965 |
Download Introduction to Applied Linear Algebra Book in PDF, ePub and Kindle
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
| Author | : George Osipenko |
| Publisher | : Springer |
| Total Pages | : 286 |
| Release | : 2006-10-28 |
| Genre | : Mathematics |
| ISBN | : 3540355952 |
Download Dynamical Systems, Graphs, and Algorithms Book in PDF, ePub and Kindle
This book describes a family of algorithms for studying the global structure of systems. By a finite covering of the phase space we construct a directed graph with vertices corresponding to cells of the covering and edges corresponding to admissible transitions. The method is used, among other things, to locate the periodic orbits and the chain recurrent set, to construct the attractors and their basins, to estimate the entropy, and more.
