期刊文献+

侧廓问题的运算(英文)

The Operation of Profile Problem
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摘要 侧廓问题是:寻找一个从V(G)到正整数集合{1,2,…,│V(G)│}的一个一一对应,使Σ x∈V(G)(f(x)-min y∈N*(x)f(y))尽可能小,这里y∈N(*x),N(*x)是x的闭邻域.本文我们研究侧廓问题的一个运算. Abstract: The profile minimization problem is to find a one-to-one mappingf from the vertex set V(G) of graph G to the set of positive integers (1,2, ..., |V(G)|)such that ∑z∈V(G) (f(x)-min y∈N(x) f(y)) is as small as possible,where N^*(x) is the closed neighborhood of x in G. In this paper we study one operation of the problem.
作者 郝建修
出处 《河南科学》 2008年第11期1310-1313,共4页 Henan Science
基金 National The Project Supported by Zhejiang Provincial Natural Science Foundation of China(102055) Nature Science Foundation of China(10471131)
关键词 稀疏矩阵 侧廓 标号 线性布置 sparse matrix profile labeling linear layout
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参考文献12

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二级参考文献11

  • 1BILLIONNET A.On Interva Graphs and Matrice Profiles[J].RAIRO Tech Oper.,1986,20:245-256.
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  • 6LAI Yung-ling,WILLIAMS K.A Survey of Solved Problems and Spplications on Bandwidth,Edgesum,and Profile of Graphs[J].J.Graph Theory,1999,31:75-94.
  • 7LAI Yung-ling,CHANG G J.On the Profile of the Corona of Two Graphs[J].Information Processing Letters,2004,89:287-292.
  • 8LIN Yi-xun,YUAN Jin-jiang,Minimum Profile of Grid Networks[J].Systems Science and Mathematical Sciences,1994,7 (1):56-66.
  • 9LIN Yi-xun,YUAN Jin-jiang,Profile Minimi zation Problem for Matrices and Graphs[J].Acta Mathematicae Applicatae Sinica,1994,10(1):107-112.
  • 10TEWARSON R P.Sparse Matrices[M].New York:Academic Press,1973.

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