Journal of applied mathematics & informatics

  • 제4권2호
  • /
  • Pages.535-543
  • /
  • 1997
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

AN ANALYSIS OF PARALLEL ROUTING ALGORITHM OF HYPERCUBE NETWORK BY EMPLOYING COVERING PROBLEM AND ASSIGNMENT PROBLEM

  • 발행 : 1997.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

The application of Hadamard matrix to the paral-lel routings on the hypercube network was presented by Rabin. In this matrix every two rows differ from each other by exactly n/2 positions. A set of n disjoint paths on n-dimensional hypercube net-work was designed using this peculiar property of Hadamard ma-trix. Then the data is dispersed into n packets and these n packet are transmitted along these n disjoint paths. In this paper Rabin's routing algorithm is analyzed in terms of covering problem and as-signment problem. Finally we conclude that n packets dispersed are placed in well-distributed positions during transmisson and the ran-domly selected paths are almost a set of n edge-disjoint paths with high probability.

키워드

참고문헌

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