Communications of the ACM
The Design and Analysis of Computer Algorithms
The Design and Analysis of Computer Algorithms
Finding a minimum circuit in a graph
STOC '77 Proceedings of the ninth annual ACM symposium on Theory of computing
Fast probabilistic algorithms for hamiltonian circuits and matchings
STOC '77 Proceedings of the ninth annual ACM symposium on Theory of computing
Big Omicron and big Omega and big Theta
ACM SIGACT News
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We present an algorithm which finds the shortest distance between all pairs of points in a non-negatively weighted directed graph in the average time stated in the title. This algorithm, an extension of Spira's solution [Sp], executes in the stated time over quite general classes of probability distributions on graphs.