Finding Supported Paths in Heterogeneous Networks †

Algorithms

Guillaume Fertin²  Christian Komusiewicz¹  Hafedh Mohamed-Babou²  Irena Rusu² 

[1] Institut für Softwaretechnik und Theoretische Informatik, Technische Universität Berlin, Berlin D-10587, Germany; E-Mail:;LINA, UMR CNRS 6241, Université de Nantes, Nantes 44322, France; E-Mails:

关键词: NP-hard problems;    directed acyclic graphs;    longest path problem;    shortest path problem;    protein interaction networks;    metabolic networks;   

DOI  :  10.3390/a8040810

来源: mdpi

【 摘 要 】

Subnetwork mining is an essential issue in the analysis of biological, social and communication networks. Recent applications require the simultaneous mining of several networks on the same or a similar vertex set. That is, one searches for subnetworks fulfilling different properties in each input network. We study the case that the input consists of a directed graph D and an undirected graph G on the same vertex set, and the sought pattern is a path P in D whose vertex set induces a connected subgraph of G. In this context, three concrete problems arise, depending on whether the existence of P is questioned or whether the length of P is to be optimized: in that case, one can search for a longest path or (maybe less intuitively) a shortest one. These problems have immediate applications in biological networks and predictable applications in social, information and communication networks. We study the classic and parameterized complexity of the problem, thus identifying polynomial and NP-complete cases, as well as fixed-parameter tractable and W[1]-hard cases. We also propose two enumeration algorithms that we evaluate on synthetic and biological data.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.