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Embeddings of treelike graphs into 2-dimensional meshes

  • Multiprocessor Systems And Concurrency
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Graph-Theoretic Concepts in Computer Science (WG 1990)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 484))

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Abstract

In the following we present embeddings of complete binary trees, pyramids and X-trees into 2-dimensional meshes. The presented embeddings achieve optimal expansion with congestion 2 for trees and congestion 6 for X-trees, and constant expansion ≤3 with congestion 3 for pyramids. The dilations are shown to be near optimal.

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6. References

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Rolf H. Möhring

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© 1991 Springer-Verlag Berlin Heidelberg

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Zienicke, P. (1991). Embeddings of treelike graphs into 2-dimensional meshes. In: Möhring, R.H. (eds) Graph-Theoretic Concepts in Computer Science. WG 1990. Lecture Notes in Computer Science, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53832-1_42

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  • DOI: https://doi.org/10.1007/3-540-53832-1_42

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53832-5

  • Online ISBN: 978-3-540-46310-8

  • eBook Packages: Springer Book Archive

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