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This book solves several mathematical problems in the areas of Very Large Scale Integration (VLSI) and parallel computation. In particular, it describes optimal layouts for the shuffle-exchange graph, one of the best known networks for parallel computation. Attempts to design a shuffle-exchange computer have been hampered in part by the fact that, until now, no good layouts for the shuffle-exchange graph were known. The mesh of trees network (which may eventually prove as useful as the shuffle-exchange graph) is introduced and the book shows how it can be used to perform a variety of computations, including sorting and matrix multiplication, in a logarithmic number of steps. Next, the book introduces the tree of meshes, the first planar graph that was discovered not to have a linear-area layout. Most recently, the structure of this graph has been used to develop a general framework for solving VLSI graph layout problems. Finally, the book develops techniques for proving lower bounds on the bisection width, crossing number, and layout area of a graph. These techniques significantly extend the power and range of previous methods.Researchers in the fields of VLSI, parallel computation, and graph theory will find this study of particular value; it is also accessible to anyone with an elementary knowledge of mathematics and computer science. The book is self-contained and presents in a unified and original manner many results scattered in the technical literature, while also covering new and fundamental results for the first time.
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Tom Leighton is Assistant Professor of Mathematics in the Department of Applied Mathematics and Laboratory for Computer Science at MIT.
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Book Description The MIT Press, 2003. Paperback. Condition: New. New - excellent clean condition, has a mark on the edge of the book, clean pages - Soft Bound - Publisher: MIT Press ***. Seller Inventory # A-02812
Book Description The MIT Press, 2003. Condition: New. book. Seller Inventory # M0262621789
Book Description The MIT Press, 2003. Paperback. Condition: New. Seller Inventory # DADAX0262621789
Book Description Mit Pr, 1983. Paperback. Condition: Brand New. 156 pages. 8.90x5.98x0.39 inches. In Stock. Seller Inventory # __0262621789