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Original Articles

A more efficient algorithm for the min-plus multiplication

Pages 49-60 | Received 11 Apr 1989, Published online: 19 Mar 2007

References

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  • Fischer , M. J. and Meyer , A. R. 1971 . IEEE 12th Annual Symposium on Switching and Automata Theory . Boolean matrix multiplication and transitive closure . 1971 . pp. 129 – 131 .
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  • Kerr L. R. The effect of algebraic structure on the computational complexity of matrix multiplications Cornell University 1970 Ph.D. thesis
  • Mehlhorn , K. 1984 . Data Structures and Algorithms 2: Graph Algorithms and NP-completeness , 155 – 158 . Springer-Verlag .
  • Munro , I. 1971 . Efficient determination of the transitive closure of a directed graph . Information Processing Letters , 1 : 56 – 58 .
  • Romani , F. 1980 . Shortest-path problem is not harder than matrix multiplication . Information Processing Letters , 11 : 134 – 136 .
  • Spira , P. M. 1973 . A new algorithm for finding all shortest paths in a graph of positive arcs in average time O(n 2 log2 n) . SIAM Journal on Computing , 2 : 28 – 32 .

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