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The Extended Profiles of the Co-trees

The Extended Profiles of the Co-trees
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摘要 The extended profile problem is to find a proper interval supergraph with the smallest possible number of edges.The problem stems from the storage and elimination techniques of a sparse symmetric matrix A in 1950,s.It has important applications in numerical algebra,VLSI designs and molecular biology.A tree T is a connected acyclic graph.The complement of a tree T is called a co-tree,denoted by Tˉ.In this paper the exact extended profile value of a cotree Tˉ is given.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第4期515-521,共7页 数学季刊(英文版)
基金 Supported by the Natural Science Foundation of Henan Province(082300460190) Supported by Program for Science and Technology Innovation Talents in Universities of Henan Province (2010HASTIT043)
关键词 the proper interval graph the extended profile TREE co-tree 合适的间隔图;扩大侧面;树;合作树;
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