Publications with Petra Mutzel
Selected open problems in graph drawing.
F. J. Brandenburg, D. Eppstein, M. T. Goodrich, S. G. Kobourov, G. Liotta, and P. Mutzel.
11th Int. Symp. Graph Drawing, Perugia, Italy, 2003.
Springer, Lecture Notes in Comp. Sci. 2912, 2004, pp. 515–539.We survey a number of open problems in theoretical and applied graph drawing.
Bicriteria polygon aggregation with arbitrary shapes.
L. Blank, D. Eppstein, J.-H. Haunert, H. Haverkort, B. Kolbe, P. Mayer, P. Mutzel, A. Naumann, and J. Sauer.
arXiv:2507.11212.We consider a problem of shape aggregation in which we cluster a collection of disjoint regions in the plane by finding a collection of surrounding shapes, covering all the given regions and minimizing a linear combination of area and perimeter. The tradeoff between area and perimeter gives us a nested family of clusterings ranging from each given region forming its own cluster to a single cluster for all the regions. The cluster boundaries are straight line segments and circular arcs, leading to a discretization of the clustering problem that allows its optimal solution to be found in polynomial time by a transformation to network flow.