Journal of KIISE:Computer Systems and Theory (한국정보과학회논문지:시스템및이론)

Korean Institute of Information Scientists and Engineers (한국정보과학회)
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Embedding Multiple Meshes into a Twisted Cube

다중 메쉬의 꼬인 큐브에 대한 임베딩

  • 김숙연 (한경대학교 컴퓨터공학과)
  • Received : 2008.12.04
  • Accepted : 2009.05.03
  • Published : 2010.04.15
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Abstract

The twisted cube has received great attention because it has several superior properties to the hypercube that is widely known as a versatile parallel processing system. In this paper, we show that node-disjoint $2^{n-1}$ meshes of size $2^n{\times}2^m$ can be embedded into a twisted cube with dilation 1 where $1{\leq}n{\leq}m$. The expansion is 1 for even m and 2 for odd m.

꼬인 큐브는 병렬처리 시스템의 상호연결망으로서 널리 알려진 하이퍼큐브와 많은 면에서 비슷하면서도 절반 정도의 지름을 가지는 등 개선된 망 성질들을 가지므로 각광받아 왔다. 본 논문에서는 크기 $2^n{\times}2^m$인 메쉬의 복사본 $2^{n-1}$개가 꼬인 큐브에 노드 중복없이 연장율 1로 임베딩될 수 있음을 보인다($1{\leq}n{\leq}m$). 여기서 확장율은 m이 짝수이면 1이고 홀수이면 2이다.

Keywords

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