Discovering bipartite substructure in directed networks

作者：Taylor Alan^*; Vass J Keith; Higham Desmond J

来源：LMS Journal of Computation and Mathematics, 2011, 14: 72-86.

DOI：10.1112/S1461157009000072

Bipartivity is an important network concept that can be applied to nodes, edges and communities. Here we focus on directed networks and look for subnetworks made up of two distinct groups of nodes, connected by 'one-way' links. We show that a spectral approach can be used to find hidden substructures of this form. Theoretical support is given for the idealized case where there is limited overlap between subnetworks. Numerical experiments show that the approach is robust to spurious and missing edges. A key application of this work is in the analysis of high-throughput gene expression data, and we give an example where a biologically meaningful directed bipartite subnetwork is found from a cancer microarray dataset.

• 出版日期2011