Publications with Michael Kaufmann
Universal point sets for planar graph drawings with circular arcs.
P. Angelini, D. Eppstein, F. Frati, M. Kaufmann, S. Lazard, T. Mchedlidze, M. Teillaud, and A. Wolff.
HAL-Inria open archive oai:hal.inria.fr:hal-00846953.
25th Canadian Conference on Computational Geometry, Waterloo, Canada, 2013.
J. Graph Algorithms and Applications 18 (3): 313–324, 2014.For every positive integer n, there exists a set of n points on a parabola, with the property that every n-vertex planar graph can be drawn without crossings with its vertices at these points and with its edges drawn as circular arcs.
Contact graphs of circular arcs.
M. J. Alam, D. Eppstein, M. Kaufmann, S. Kobourov, S. Pupyrev A. Schulz, and T. Ueckerdt.
arXiv:1501.00318.
14th Algorithms and Data Structures Symp. (WADS 2015), Victoria, BC.
Springer, Lecture Notes in Comp. Sci. 9214 (2015), pp. 1–13.We study the graphs formed by non-crossing circular arcs in the plane, having a vertex for each arc and an edge for each point where an arc endpoint touches the interior of another arc.