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- W2094964930 abstract "Let L be a family of n blue lines in the real projective plane. Suppose that R is a collection of m red lines, different from the blue lines, and that every edge in the arrangement A(L) is crossed by a line in R. We show that m≥n−13.5. Our result is more general, and applies to pseudo-line arrangements A(L), and even weaker assumptions are required for R. Our result is motivated by the famous conjecture of Dirac about the existence of a line with many intersection points on it in any arrangement of n nonconcurrent lines in the plane. We draw a possible relation between the two problems." @default.
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- W2094964930 date "2013-11-01" @default.
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- W2094964930 title "Crossing by lines all edges of a line arrangement" @default.
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- W2094964930 doi "https://doi.org/10.1016/j.disc.2013.07.008" @default.
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