오드 연결망 $O_d$에서 에지 중복 없는 최적 스패닝 트리를 구성하는 알고리즘

Constructing Algorithm for Optimal Edge-Disjoint Spanning Trees in Odd Interconnection Network $O_d$

  • 김종석 (영남대학교 정보통신공학과) ;
  • 이형옥 (순천대학교 컴퓨터교육과) ;
  • 김성원 (영남대학교 정보통신공학과)
  • 발행 : 2009.10.15

초록

오드 연결망은 그래프이론 모델의 하나로 발표되었는데, [1]에서 고장허용 다중컴퓨터에 대한 하나의 모형으로 소개되었고, 여러 가지 유용한 성질들 - 간단한 라우팅 알고리즘, 최대고장허용도, 노드 중복 없는 경로 등 - 이 분석되었다 본 논문에서는 오드 연결망 $O_d$ 에서 에지 중복 없는 스패닝 트리를 구성하는 알고리즘을 제안한다. 그리고 제안한 알고리즘에 의해 구성된 에지 중복 없는 스패닝 트리가 에지 중복 없는 최적 스패닝 트리임을 증명한다.

Odd network was introduced as one model of graph theory. In [1], it was introduced as a class of fault-tolerant multiprocessor networks and analyzed so many useful properties such as simple routing algorithms, maximal fault tolerance, node axsjoint path, etc. In this paper, we sauw a construction algorithm of edge-axsjoint spanning trees in Odd network $O_d$. Also, we prove that edge-disjoint spanning tree generated by our algorithm is optimal edge-disjoint spanning tree.

키워드

참고문헌

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