%0 Journal Article %T The Exponential Time Complexity of Computing the Probability That a Graph is Connected %A Thore Husfeldt %A Nina Taslaman %J Computer Science %D 2010 %I arXiv %R 10.1007/978-3-642-17493-3_19 %X We show that for every probability p with 0 < p < 1, computation of all-terminal graph reliability with edge failure probability p requires time exponential in Omega(m/ log^2 m) for simple graphs of m edges under the Exponential Time Hypothesis. %U http://arxiv.org/abs/1009.2363v3