## Abstract A rectilinear drawing of a graph is one where each edge is drawn as a straight‐line segment, and the rectilinear crossing number of a graph is the minimum number of crossings over all rectilinear drawings. We describe, for every integer __k__ ≥ 4, a class of graphs of crossing number __
New Bounds on Crossing Numbers
✍ Scribed by Pach, J.; Spencer, J.; Tóth, G.
- Book ID
- 113044324
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 141 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0179-5376
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## Abstract Results giving the exact crossing number of an infinite family of graphs on some surface are very scarce. In this paper we show the following: for __G__ = __Q__~__n__~ × __K__~4.4~, cr~__y__(__G__)‐__m__~(__G__) = 4__m__, for 0 ⩽ = __m__ ⩽ 2^__n__^. A generalization is obtained, for cer
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