✦ LIBER ✦

Two-coloring inequalities for Euclidean arrangements in general position

✍ Scribed by George B. Purdy; John E. Wetzel

Publisher: Elsevier Science
Year: 1980
Tongue: English
Weight: 451 KB
Volume: 31
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(80)90171-5

No coin nor oath required. For personal study only.

✦ Synopsis

G.J. Simmons proved in 1972 that if the regions formed by a Euclidean arrangement of lines in general position are two-colored, with r red regions and g green regions, then r G 2g -2 so that r/g c 2. We use a variant of Simmons' argument to find some analogous estimates in higher dimensional Euclidean space.

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