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.
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)