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

Date and Time: Tuesday, September 13, 2011, 12:15 pm

Duration: 30 minutes

Location: ML J37.1

Speaker: Yoshio Okamoto (Japan Advanced Institute of Science and Technology)

Vertex Angle and Crossing Angle Resolution of Leveled Tree Drawings

We study the problem of computing leveled tree drawings, i.e., straight-line drawings of trees where the vertices have distinct preassigned y-coordinates. Our optimization goal is to maximize the crossing angle resolution (i.e., the minimum angle formed by any two crossing edges) and/or the vertex angle resolution (i.e., the minimum angle formed by two edges incident to the same vertex) of the drawing. We provide worst case optimal (or almost optimal) bounds for the crossing angle resolution and for the total angle resolution (i.e., the minimum of crossing and vertex angle resolution).

Joint work with Walter Didimo, Michael Kaufmann, Giuseppe Liotta, and Andreas Spillner

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