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.
Chromatic number of classes of matrices of zeros and ones
β Scribed by Richard A. Brualdi; Rachel Manber
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 505 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
We investigate the chromatic number of a class of matrices of O's and l's with given row and column sum vectors, equivalently the chromatic number of hypergraphs with given degree and dual-degree sequences.
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