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» On Spectral Graph Drawing
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APVIS
2008
13 years 10 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...
ICML
2010
IEEE
13 years 9 months ago
Finding Planted Partitions in Nearly Linear Time using Arrested Spectral Clustering
We describe an algorithm for clustering using a similarity graph. The algorithm (a) runs in O(n log3 n + m log n) time on graphs with n vertices and m edges, and (b) with high pro...
Nader H. Bshouty, Philip M. Long
ISAAC
2007
Springer
124views Algorithms» more  ISAAC 2007»
14 years 2 months ago
Approximating the Crossing Number of Toroidal Graphs
Abstract. CrossingNumber is one of the most challenging algorithmic problems in topological graph theory, with applications to graph drawing and VLSI layout. No polynomial time con...
Petr Hlinený, Gelasio Salazar
IV
2003
IEEE
92views Visualization» more  IV 2003»
14 years 2 months ago
Visualizing Weighted Edges in Graphs
This paper introduces a new edge length heuristic that finds a graph layout where the edge lengths are proportional to the weights on the graph edges. The heuristic can be used in...
Peter Rodgers, Paul Mutton
JDA
2006
98views more  JDA 2006»
13 years 8 months ago
Completely connected clustered graphs
Abstract. Planar drawings of clustered graphs are considered. We introduce the notion of completely connected clustered graphs, i.e. hierarchically clustered graphs that have the p...
Sabine Cornelsen, Dorothea Wagner