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The Minimum Feasible Tileset Problem

Dipl.-Inf. Manuel Sorge (TU Berlin)

I will present a joint work with Yann Disser and Stefan Kratsch on the Minimum Feasible Tileset problem: Given a set of symbols and subsets of these symbols (scenarios), find a smallest possible number of pairs of symbols (tiles) such that each scenario can be formed by selecting at most one symbol from each tile. We show that this problem is NP-complete even if each scenario contains at most three symbols. Our main result is a 4/3-approximation algorithm for the general case. In addition, we show that the Minimum Feasible Tileset problem is fixed-parameter tractable both when parameterized with the number of scenarios and with the number of symbols.

Manuel Sorge
TEL 512

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