Title
Algorithms on evolving graphs
Abstract
Motivated by applications that concern graphs that are evolving and massive in nature, we define a new general framework for computing with such graphs. In our framework, the graph changes over time and an algorithm can only track these changes by explicitly probing the graph. This framework captures the inherent tradeoff between the complexity of maintaining an up-to-date view of the graph and the quality of results computed with the available view. We apply this framework to two classical graph connectivity problems, namely, path connectivity and minimum spanning trees, and obtain efficient algorithms.
Year
DOI
Venue
2012
10.1145/2090236.2090249
ITCS
Keywords
Field
DocType
inherent tradeoff,concern graph,new general framework,graph change,classical graph connectivity problem,up-to-date view,efficient algorithm,path connectivity,available view,algorithms,graph connectivity,minimum spanning tree
Block graph,Modular decomposition,Outerplanar graph,Comparability graph,Line graph,Algorithm,Graph product,Pathwidth,Mathematics,Graph (abstract data type)
Conference
Citations 
PageRank 
References 
13
0.74
9
Authors
5
Name
Order
Citations
PageRank
Aris Anagnostopoulos1105467.08
Ravi Kumar2139321642.48
Mohammad Mahdian32689226.62
Eli Upfal44310743.13
Fabio Vandin521827.55