• Title/Summary/Keyword: Unequality Node Distribution

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Efficient Construction of Euclidean Minimum Spanning Tree Using Partial Polynomial-Time Approximation Scheme in Unequality Node Distribution (비 균등 노드 분포환경에서 부분 PTAS를 이용한 효과적인 유클리드 최소신장트리 생성)

  • Kim, In-Bum;Kim, Soo-In
    • Journal of the Korea Society of Computer and Information
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    • v.19 no.6
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    • pp.71-80
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    • 2014
  • Employing PTAS to building minimum spanning tree for a large number of equal distribution input terminal nodes can be a effective way in execution time. But applying PTAS to building minimum spanning tree for tremendous unequal distribution node may lead to performance degradation. In this paper, a partial PTAS reflecting the scheme into specific node dense area is presented. In the environment where 90% of 50,000 input terminal nodes stand close together in specific area, approximate minimum spanning tree by our proposed scheme can show about 88.49% execution time less and 0.86%tree length less than by existing PTAS, and about 87.57%execution time less and 1.18% tree length more than by Prim's naive scheme. Therefore our scheme can go well to many useful applications where a multitude of nodes gathered around specific area should be connected efficiently as soon as possible.