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The upper bounds of the generalized maximum density index of irreducible boolean matrices

✍ Scribed by Chen Xi; Zhang Ke Min

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
580 KB
Volume
256
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let IBM(n, p) denote the set of all n Γ— n irreducible Boolean matrices with period p. This paper generalizes the concept of the index of maximum density of A, where A ~ IBM(n, p) with p > 1, and obtains upper bounds on the generalized maximum density index of IBM(n, p).

πŸ“œ SIMILAR VOLUMES

The lower and upper bounds on Perron roo
The lower and upper bounds on Perron root of nonnegative irreducible matrices
✍ Guang-Xin Huang; Feng Yin; Ke Guo πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let A be an n Γ— n nonnegative irreducible matrix, let A[ ] be the principal submatrix of A based on the nonempty ordered subset of {1, 2, . . . , n}, and define the generalized Perron complement of A[ ] by P t (A/A[ ]), i.e., This paper gives the upper and lower bounds on the Perron root of A. An u