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Optimum tearing in large scale systems and minimum feedback cutsets of a digraph

✍ Scribed by Kabekode V.S. Bhat; Bharat Kinariwala

Publisher: Elsevier Science
Year: 1979
Tongue: English
Weight: 822 KB
Volume: 307
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(79)90024-3

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✦ Synopsis

In this paper we consider the problem of finding a minimum number of nonzero elements of a given n x n matrix on removal of which the resulting matrix can be permuted to an n x n lower triangular matrix using symmetric permutations on the rows and columns of the matrix. The problem is related to finding a minimum feedback cutset for the digraph of the matrix. A topological method for finding a minimum feedback cutset for a given digraph is presented. Possible extensions to our work are indicated.

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