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On Fiedler- and Parter-vertices of acyclic matrices

✍ Scribed by In-Jae Kim; Bryan L. Shader

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
265 KB
Volume
428
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Maximum determinants of complementary ac
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✍ 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.

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For some special matrices, the conjecture is proved.