Using block designs in crossing number bounds

The crossing number CR(𝐺) of a graph 𝐺=(𝑉,𝐸) is the smallest number of edge crossings over all drawings of 𝐺 in the plane. For any 𝑘≥1 , the 𝑘 ‐planar crossing number of 𝐺,CR𝑘(𝐺) , is defined as the minimum of CR(𝐺1)+CR(𝐺2)+⋯+CR(𝐺𝑘) over all graphs 𝐺1,𝐺2,…,𝐺𝑘 with ∪𝑘𝑖=1𝐺𝑖=𝐺 . Pach et a...

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Bibliographic Details
Main Authors: Asplund, J, Clark, G, Cochran, G, Czabarka, É, Hamm, A, Spencer, G, Székely, L, Taylor, L, Wang, Z
Format: Journal article
Language:English
Published: Wiley 2019