On Frieze's &zgr;(3) limit for lengths of minimal spanning trees
Discrete Applied Mathematics
Monte-Carlo approximation algorithms for enumeration problems
Journal of Algorithms
Finding the hidden path: time bounds for all-pairs shortest paths
SIAM Journal on Computing
A new approach to the minimum cut problem
Journal of the ACM (JACM)
Algorithmic theory of random graphs
Random Structures & Algorithms - Special issue: average-case analysis of algorithms
SIAM Journal on Computing
Average-case complexity of shortest-paths problems in the vertex-potential model
Random Structures & Algorithms
Graph Algorithms
Suboptimal Cuts: Their Enumeration, Weight and Number (Extended Abstract)
ICALP '92 Proceedings of the 19th International Colloquium on Automata, Languages and Programming
A delay-tolerant network architecture for challenged internets
Proceedings of the 2003 conference on Applications, technologies, architectures, and protocols for computer communications
One, Two and Three Times log n/n for Paths in a Complete Graph with Random Weights
Combinatorics, Probability and Computing
Average-case complexity of single-source shortest-paths algorithms: lower and upper bounds
Journal of Algorithms - Special issue: Twelfth annual ACM-SIAM symposium on discrete algorithms
Study of a bus-based disruption-tolerant network: mobility modeling and impact on routing
Proceedings of the 13th annual ACM international conference on Mobile computing and networking
A survey of practical issues in underwater networks
ACM SIGMOBILE Mobile Computing and Communications Review
Inapproximability of the Tutte polynomial
Information and Computation
On the minimum diameter spanning tree problem
Information Processing Letters
A measurement study of the origins of end-to-end delay variations
PAM'10 Proceedings of the 11th international conference on Passive and active measurement
Polynomial time randomized approximation schemes for Tutte–Gröthendieck invariants: The dense case
Random Structures & Algorithms
Delay-tolerant networking: an approach to interplanetary Internet
IEEE Communications Magazine
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Consider the setting of randomly weighted graphs, namely, graphs whose edge weights are chosen independently according to probability distributions with finite support over the non-negative reals. Under this setting, weighted graph properties such as the diameter, the radius (with respect to a designated vertex), and the weight of a minimum spanning tree become random variables and we are interested in computing their expectation. Unfortunately, this turns out to be #P-hard. In this paper, we define a family of weighted graph properties (that includes the above three) and show that for each property in this family, the problem of computing the kth moment (and in particular, the expectation) of the corresponding random variable admits a fully polynomial-time randomized approximation scheme (FPRAS) for every fixed k.