Embedding of Complete Binary Trees into Meshes with Row-Column Routing

  • Authors:
  • Sang-Kyu Lee;Hyeong-Ah Choi

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1996

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Abstract

This paper considers the problem of embedding complete binary trees into meshes using the row-column routing and obtained the following results: a complete binary tree with 2p驴 1 nodes can be embedded 1) with link congestion one into a ${9 \over 8}\sqrt{2^p}\times {9 \over 8}\sqrt{2^p}$ mesh when p is even and a $\sqrt{{\textstyle{9 \over 8}} {2^p}}\times \sqrt{{\textstyle{9 \over 8}} {2^p}}$ mesh when p is odd, and 2) with link congestion two into a $\sqrt{2^p}\times \sqrt{2^p}$ mesh when p is even, and a $\sqrt{2^{p-1}}\times 2\sqrt{2^{p-1}}$ mesh when p is odd.