[comp.theory] Network reliability?

mosbah@geocub.greco-prog.fr ( ) (09/14/90)

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