Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Friday, December 04, 2015, 12:15 pm

Duration: 30 minutes

Location: CAB G11

Speaker: Michael Kaufmann (Universität Tübingen)

Book Embedding Problems from a SAT-Solving Perspective

In a book embedding, the vertices of a graph are placed on the spine of a book and the edges are assigned to pages, so that edges of the same page do not cross. In 1986, Yannakakis gave a very complicated algorithm for book embedding any given planar graph on four pages. It is open since then, whether four pages are necessary or three pages suffice.

I will present our approach to this problem by means of SAT solving, discuss the (mostly negative) findings and show how we developed new hypotheses that might help to solve this problem and some related ones.

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