On incidence matrices of finite projective planes
β Scribed by Bernard Montaron
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 481 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
Using counting arguments we extend previous results concerning the coloring of lines in a finite projective plane of order n whose points are n-colored. Suppose the points of the finite projective plane PG(2, n) are colored with n colors. Kabell [2] showed that at least one line must contain points
## Abstract For a finite projective plane $\Pi$, let $\bar {\chi} (\Pi)$ denote the maximum number of classes in a partition of the point set, such that each line has at least two points in the same partition class. We prove that the best possible general estimate in terms of the order of projectiv