Title
The link prediction problem in bipartite networks
Abstract
We define and study the link prediction problem in bipartite networks, specializing general link prediction algorithms to the bipartite case. In a graph, a link prediction function of two vertices denotes the similarity or proximity of the vertices. Common link prediction functions for general graphs are defined using paths of length two between two nodes. Since in a bipartite graph adjacency vertices can only be connected by paths of odd lengths, these functions do not apply to bipartite graphs. Instead, a certain class of graph kernels (spectral transformation kernels) can be generalized to bipartite graphs when the positive-semidefinite kernel constraint is relaxed. This generalization is realized by the odd component of the underlying spectral transformation. This construction leads to several new link prediction pseudokernels such as the matrix hyperbolic sine, which we examine for rating graphs, authorship graphs, folksonomies, document-feature networks and other types of bipartite networks.
Year
DOI
Venue
2010
10.1007/978-3-642-14049-5_39
information processing and management of uncertainty
Keywords
DocType
Volume
general graph,bipartite network,authorship graph,link prediction problem,bipartite case,new link prediction,bipartite graph adjacency vertex,general link prediction algorithm,link prediction function,common link prediction function,bipartite graph
Conference
abs/1006.5367
ISBN
Citations 
PageRank 
3-642-14048-3
30
1.54
References 
Authors
15
3
Name
Order
Citations
PageRank
Jérôme Kunegis187451.20
Ernesto W. De Luca2503.71
sahin albayrak31298158.51