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• W2045381008 abstract "The purpose of this paper is to demonstrate the use of matrices for the representation of graph embedding in a hypercube. We denote the image of an embedding (which is a subgraph of the hypercube) as a matrix. With this representation, we are able to simplify, unify, generalize, or improve existing results regarding multigraph embedding in a hypercube. A class of trees called regular binary-reflected trees is identified, which includes linear paths, binomial trees, and many others. We show that for any regular binary-reflected tree T, n copies of T can be simultaneously embedded in an n-cube with congestion = 2. Embeddings of binary trees and meshes are also discussed." @default.
• W2045381008 created "2016-06-24" @default.
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• W2045381008 date "1994-11-01" @default.
• W2045381008 modified "2023-10-16" @default.
• W2045381008 title "Matrix Representation of Graph Embedding in a Hypercube" @default.
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• W2045381008 doi "https://doi.org/10.1006/jpdc.1994.1133" @default.
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