Decomposition of multiple coverings of the plane

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• Dömötör Pálvölgyi (Rényi Institute, Budapest)
• Thursday 19 February 2015, 16:00-17:00
• MR12.

If you have a question about this talk, please contact Andrew Thomason.

A collection of planar sets is called an m-fold covering if every point is contained in at least m sets. Pach proposed in 1980 to study which coverings can be decomposed into two coverings, i.e., for which collections the sets can be colored with red and blue such that both the red and the blue sets form a 1-fold covering. We survey related results and disproof one of his conjectures. We show that for every m there exists an m-fold covering of the plane with unit disks that does not decompose into two coverings.

This talk is part of the Combinatorics Seminar series.

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