Graph Algorithms in the Language of Linear Algebra

Graph Algorithms in the Language of Linear Algebra

Description

The field of graph algorithms has become one of the pillars of theoretical computer science, informing research in such diverse areas as combinatorial optimization, complexity theory and topology. To improve the computational performance of graph algorithms, researchers have proposed a shift to a parallel computing paradigm. This book addresses the challenges of implementing parallel graph algorithms 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.


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Details

Author(s)
Jeremy Kepner, John Gilbert
Format
Hardback | 375 pages
Dimensions
182 x 261 x 23mm | 990g
Publication date
04 Aug 2011
Publisher
Society for Industrial & Applied Mathematics,U.S.
Publication City/Country
New York, United States
Language
English
ISBN10
0898719909
ISBN13
9780898719901
Bestsellers rank
1,709,086