Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Force-directed placement is a widely used approach to automatically arranging the nodes and edges of a relational diagram or graph in an aesthetically pleasing manner. The adoption...
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
We consider the pair (pi, fi) as a force with two-dimensional direction vector fi applied at the point pi in the plane. For a given set of forces we ask for a non-crossing geometri...
Implicit information embedded in semantic web graphs, such as topography, clusters, and disconnected subgraphs is difficult to extract from text files. Visualizations of the graph...