Title
Efficient algorithms for the periodic subgraphs mining problem
Abstract
Given a sequence G= of simple graphs over uniquely labeled vertices from a set V, the periodic subgraph mining problem consists in discovering maximal subgraphs that recur at regular intervals in G. For a periodic subgraph to be maximal, it is intended here that it cannot be enriched by adding edges nor can its temporal span be expanded in any direction. We give algorithms that improve the theoretical complexity of solutions previously available for this problem. In particular, we show an optimal solution based on an implicit description of the output subgraphs that takes time O(|V|+|E@?|xT^2/@s)-where |E@?| is the average number of edges over the entire sequence G-to publish all maximal periodic subgraphs that meet or exceed a minimum occurrence threshold @s.
Year
DOI
Venue
2012
10.1016/j.jda.2012.05.002
J. Discrete Algorithms
Keywords
Field
DocType
output subgraphs,maximal periodic subgraphs,implicit description,entire sequence,periodic subgraph,sequence g,average number,periodic subgraphs mining problem,efficient algorithm,minimum occurrence threshold,maximal subgraphs,periodic subgraph mining problem,interactions,social networks
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Algorithm,Periodic graph (geometry),Mathematics
Journal
Volume
ISSN
Citations 
17,
1570-8667
0
PageRank 
References 
Authors
0.34
6
5
Name
Order
Citations
PageRank
Alberto Apostolico11441182.20
Péter L. Erds2232.21
Ervin Gyri341.90
Zsuzsanna Lipták421224.03
Cinzia Pizzi513915.73