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» On embeddability and stresses of graphs
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ESA
2010
Springer
188views Algorithms» more  ESA 2010»
13 years 5 months ago
Contractions of Planar Graphs in Polynomial Time
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...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
GD
2005
Springer
14 years 27 days ago
Stress Majorization with Orthogonal Ordering Constraints
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...
Tim Dwyer, Yehuda Koren, Kim Marriott
COMPGEOM
2007
ACM
13 years 11 months ago
Embedding 3-polytopes on a small grid
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 ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
WADS
2009
Springer
243views Algorithms» more  WADS 2009»
14 years 2 months ago
Resolving Loads with Positive Interior Stresses
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...
Günter Rote, André Schulz
IV
2003
IEEE
116views Visualization» more  IV 2003»
14 years 20 days ago
Visualization of Semantic Metadata and Ontologies
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...
Paul Mutton, Jennifer Golbeck