By Kenneth B Stolarsky
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Extra resources for Algebraic numbers and Diophantine approximation
Stout, Quentin F. publisher : MIT Press isbn10 | asin : 0262132338 print isbn13 : 9780262132336 ebook isbn13 : 9780585037042 language : English subject Parallel algorithms, Parallel programming (Computer science) , Computer architecture. 1 subject : Parallel algorithms, Parallel programming (Computer science) , Computer architecture. Page iii Parallel Algorithms for Regular Architectures: Meshes and Pyramids Russ Miller Quentin F. Stout The MIT Press Cambridge, Massachusetts London, England Page iv ã 1996 by The Massachusetts Institute of Technology All rights reserved.
However, such an effort allows for higher level algorithms to be written with a great deal of network independence. The algorithmic problems considered in this book are chosen predominantly from the fields of image processing, graph theory, and computational geometry. Many of the algorithms rely on efficient sorting and matrix algorithms, which are also presented. The paradigms exhibited by these algorithms should give the reader a good grasp on techniques for designing parallel algorithms. Each chapter is reasonably self-contained, so the book need not be read in a linear fashion.
1 Graph and Image Problems In this section, several graph and image problems are defined for which solutions are presented throughout the book for a variety of machine models and input formats. 1. Component Labeling. The input to the problem is an undirected graph G = (V, E),given as an adjacency matrix, a set of unordered edges, or as a digitized picture. It is assumed that the elements of V have a linear order. The component labeling problem is to assign a component label to each vertex, such that two vertices receive the same component label if and only if there is a connected path between them.
Algebraic numbers and Diophantine approximation by Kenneth B Stolarsky