6 papers
Towards a characterization of stretchable aligned graphs
Marcel Radermacher, Ignaz Rutter, Peter Stumpf
We consider the problem of stretching pseudolines in a planar straight-line drawing to straight lines while preserving the straightness and the combinatorial embedding of the drawi…
Geometric Crossing-Minimization -- A Scalable Randomized Approach
Marcel Radermacher, Ignaz Rutter
We consider the minimization of edge-crossings in geometric drawings of graphs , i.e., in drawings where each edge is depicted as a line segment. The respective decision…
Drawing Clustered Graphs on Disk Arrangements
Tamara Mchedlidze, Marcel Radermacher, Ignaz Rutter +1
Let be a planar graph and let be a partition of . We refer to the graphs induced by the vertex sets in as Clusters. Let b…
Multilevel Planarity
Lukas Barth, Guido Brückner, Paul Jungeblut +1
In this paper, we introduce and study the multilevel-planarity testing problem, which is a generalization of upward planarity and level planarity. Let be a directed gr…
Inserting an Edge into a Geometric Embedding
Marcel Radermacher, Ignaz Rutter
The algorithm of Gutwenger et al. to insert an edge in linear time into a planar graph with a minimal number of crossings on , is a helpful tool for designing heuristics…
A Greedy Heuristic for Crossing-Angle Maximization
Almut Demel, Dominik Dürrschnabel, Tamara Mchedlidze +2
The crossing angle of a straight-line drawing of a graph is the smallest angle between two crossing edges in . Deciding whether a graph has a straight-line dr…