Title
Visualizing evolving networks: minimum spanning trees versus pathfinder networks
Abstract
Network evolution is a ubiquitous phenomenon in a wide variety of complex systems. There is an increasing interest in statistically modeling the evolution of complex networks such as small-world networks and scale-free networks. In this article, we address a practical issue concerning the visualization of network evolution. We compare the visualizations of co-citation networks of scientific publications derived by two widely known link reduction algorithms, namely minimum spanning trees (MSTs) and Pathfinder networks (PFNETs). Our primarily goal is to identify the strengths and weaknesses of the two methods in fulfilling the need for visualizing evolving networks. Two criteria are derived for assessing visualizations of evolving networks in terms of topological properties and dynamical properties. We examine the animated visualization models of the evolution of botulinum toxin research in terms of its co-citation structure across a 58-year span (1945-2002). The results suggest that although high-degree nodes dominate the structure of MST models, such structures can be inadequate in depicting the essence of how the network evolves because MST removes potentially significant links from high-order shortest paths. In contrast, PFNET models clearly demonstrate their superiority in maintaining the cohesiveness of some of the most pivotal paths, which in turn make the growth animation more predictable and interpretable. We suggest that the design of visualization and modeling tools for network evolution should take the cohesiveness of critical paths into account.
Year
DOI
Venue
2003
10.1109/INFVIS.2003.1249010
InfoVis
Keywords
Field
DocType
co-citation structure,small-world network,co-citation network,pathfinder network,network evolution,mst model,animated visualization model,network evolves,scale-free network,complex network,citation analysis,statistical mechanics,data visualisation,complex networks,small world networks,shortest path,complex system,geometric modeling,network visualization,ubiquitous computing,minimum spanning tree,scale free networks,critical path,visualization
Graph drawing,Data mining,Data visualization,Computer science,Visualization,Small-world network,Evolving networks,Theoretical computer science,Scale-free network,Complex network,Spanning tree
Conference
ISBN
Citations 
PageRank 
0-7803-8154-8
57
3.02
References 
Authors
19
2
Name
Order
Citations
PageRank
Chaomei Chen12623221.55
Steven A. Morris222916.02