KIPS Transactions on Computer and Communication Systems (정보처리학회논문지:컴퓨터 및 통신 시스템)

Korea Information Processing Society (한국정보처리학회)
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Embedding Algorithm between Folded Hypercube and HFH Network

폴디드 하이퍼큐브와 HFH 네트워크 사이의 임베딩 알고리즘

  • 김종석 (로체스터대학교 컴퓨터과학과) ;
  • 이형옥 (순천대학교 컴퓨터교육과) ;
  • 김성원 (영남대학교 정보통신공학과)
  • Received : 2012.12.26
  • Accepted : 2013.03.25
  • Published : 2013.04.30
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Abstract

In this paper, we will analyze embedding between Folded Hypercube and HFH. We will show Folded Hypercube $FQ_{2n}$ can be embedded into HFH($C_n,C_n$) with dilation 4, expansion $\frac{(C_n)^2}{2^{2n}}$ and HFH($C_d,C_d$) can be embedded into $FQ_{4d-2}$ with dilation O(d).

본 논문에서는 폴디드 하이퍼큐브와 HFH 네트워크 사이의 임베딩을 분석한다. 폴디드 하이퍼큐브 $FQ_{2n}$는 HFH($C_n,C_n$)에 연장율 4, 확장율 $\frac{(C_n)^2}{2^{2n}}$에 임베딩 가능함을 보이고, HFH($C_d,C_d$)를 폴디드 하이퍼큐브 $FQ_{4d-2}$에 임베딩하는 비용은 O(d)임을 보인다.

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References

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