Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!know!zaphod.mps.ohio-state.edu!samsung!uunet!mcsun!inria!geocub!mosbah From: mosbah@geocub.greco-prog.fr ( ) Newsgroups: comp.theory Subject: Network reliability? Message-ID: <243@geocub.greco-prog.fr> Date: 14 Sep 90 08:54:13 GMT Organization: University of Bordeaux I - FRANCE Lines: 15 Is there anything known about the Network reliability problem [ND20]? (Given a graph G = (V,E), a subset V' of V, a rational failure probability p(e) for each edge e in E, a positive rational number q <= 1. Question: Is the probabilty q or greater that each pair of vertices in V' is joined by at least one path containing no failed edge? ) This problem problem is not known to be in NP in [G&J]. Is there any recent result? Thanks in advance. E-mail: mosbah@geocub.greco-prog.fr