Embedding of Networks of Processors into Hypercubes.

Abstract

In the study of parallel computing, networks of processors are often organized into various configurations such as trees, pyramids, and mesh arrays. These configurations can be represented as graphs. Using the properties and structures of the underlying graph effectively, the computation and communication speeds can often be improved. The hypercube is a good host graph for the embedding of networks of processors because of its low degree and low diameter. Graphs such as trees and arrays can be embedded into a hypercube with small dilation and expansion costs, but there are classes of graphs which can be embedded into a hypercube only with large expansion cost or large dilation cost.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1983
Accession Number
ADA139847

Entities

People

  • A. Y. Wu

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Contracts
  • Diameters
  • Embedding
  • Governments
  • Maryland
  • Mathematics
  • Parallel Computing
  • Parallel Processing
  • Scientific Research
  • Trees (Data Structures)
  • Two Dimensional
  • United States
  • United States Government
  • Universities

Readers

  • Graph Algorithms and Convex Optimization.