Title
Drawing Large Graphs by Multilevel Maxent-Stress Optimization
Abstract
Drawing large graphs appropriately is an important step for the visual analysis of data from real-world networks. Here we present a novel multilevel algorithm to compute a graph layout with respect to a recently proposed metric that combines layout stress and entropy. As opposed to previous work, we do not solve the linear systems of the maxent-stress metric with a typical numerical solver. Instead we use a simple local iterative scheme within a multilevel approach. To accelerate local optimization, we approximate long-range forces and use shared-memory parallelism. Our experiments validate the high potential of our approach, which is particularly appealing for dynamic graphs. In comparison to the previously best maxent-stress optimizer, which is sequential, our parallel implementation is on average 30 times faster already for static graphs and still faster if executed on one thread while producing a comparable solution quality.
Year
DOI
Venue
2015
10.1109/TVCG.2017.2689016
IEEE Trans. Vis. Comput. Graph.
Keywords
Field
DocType
Layout,Stress,Computational modeling,Approximation algorithms,Linear systems,Force,Optimization
Graph,Approximation algorithm,Combinatorics,Data analysis,Linear system,Computer science,Algorithm,Thread (computing),Theoretical computer science,Local search (optimization),Solver,Graph Layout
Journal
Volume
Issue
ISSN
24
5
1077-2626
Citations 
PageRank 
References 
6
0.44
30
Authors
3
Name
Order
Citations
PageRank
Henning Meyerhenke152242.22
Martin Nöllenburg211423.79
Christian Schulz324024.10