Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Thursday, May 08, 2025, 12:15 pm

Duration: 30 minutes

Location: OAT S15

Speaker: Bernd Gärtner

Optimizing Symbol Visibility Through Displacement

We are given a number of labels (all of the same shape; unit squares, say) that need to be placed within some container (rectangle, say). If there are many labels, heavy overlaps are unavoidable, and there will necessarily be labels with most of their area invisible. A notion of visibility that focuses on visible perimeter instead of visible area is more promising, as it is easy to guarantee that each square has at least half of its perimeter visible. We consider the problem of placing and stacking the labels such that the minimum visible perimeter among all label is maximized, and we obtain first nontrivial results in restricted settings. This is joint work with Vishwas Kalani, Meghana M. Reddy, Wouter Meulemans, Bettina Speckmann and Miloš Stojaković, initiated at GWOP'22, and presented at SWAT'24.

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