Legitimate colorings of projective planes

On colorings of finite projective planes

✍ Charles H. Jepsen 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 125 KB

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

Coloring the projective plane

✍ Joel Spencer 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 835 KB

It is shown that the points of a projective plane may be two-&ore discrepancy at most Knf, K an absolute constant. A variant of the p hat evee line has method is used. Connections to the Komlos Conjecture are discussed.

A note on colorings of finite planes

✍ Jerald A. Kabell 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 88 KB

By counting arguments we show that certain partitions of the points of finitle projective and aftine planes are not possible.

In praise of the legitimation project

✍ Edward Slowik 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 670 KB

Simple quasidoubles of projective planes

✍ Dieter Jungnickel; Klaus Vedder 📂 Article 📅 1987 🏛 Springer 🌐 English ⚖ 277 KB

Homomorphisms of projective planes. II

✍ V. V. Vdovin 📂 Article 📅 1987 🏛 SP MAIK Nauka/Interperiodica 🌐 English ⚖ 479 KB