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On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones

✍ Scribed by Brualdi, Richard A.; Solheid, Ernie S.


Book ID
118212499
Publisher
Society for Industrial and Applied Mathematics
Year
1986
Weight
755 KB
Volume
7
Category
Article
ISSN
0196-5212

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πŸ“œ SIMILAR VOLUMES


Maximum determinants of complementary ac
✍ Richard A Brualdi; Ernie S Solheid πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 929 KB

We show that for n >~ 5 the maximum determinant of an n x n matrix of zeros and ones whose zeros form an acyclic pattern is [(n-1)/2] [(n-1)/2] and characterize the case of equality. 1 We are indebted to H.J. Ryser for some of the references in this paragraph.