Angela Y. Wu
Abstract
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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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.
Key concepts: Hypercube, Dilation (metric space), Embedding, Book embedding, Computer science, Parallel computing, Combinatorics, Mathematics