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A dynamization of the All Pairs Least Cost Path Problem

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STACS 85 (STACS 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 182))

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Abstract

Given a digraph and a cost function of the edges we update on-line, i.e., between two successive modifications of the cost function, the solution of the All Pairs Least Cost Path Problem (APLCPP). We derive lower and upper bounds for time complexity and show that the gaps between two corresponding bounds are small. Space complexity is quadratic and therefore optimal in our model.

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5. References

  1. S. EVEN/Y. SHILOACH: "An On-Line Edge-Deletion Problem" JACM, vol. 28, no. 1, 1981

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  2. G.N. FREDERICKSON: "Data Structures for On-Line Updating of Minimum Spanning Trees", CACM, 1983

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  3. T. IBARAKI/N. KATOH: "On-Line Computation of Transitive Closure of Graphs", Inf.Proc.Let. 16, 1983

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  4. D.B. JOHNSON:"Efficient Algorithms for Shortest Paths in Sparse Networks, JACM, vol. 24, no. 1, 1977

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  5. K. MEHLHORN: "Data Structures and Algorithms", Springer-Verlag Berlin-Heidelberg-New York-Tokyo, Vol. I and II

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K. Mehlhorn

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© 1984 Springer-Verlag Berlin Heidelberg

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Rohnert, H. (1984). A dynamization of the All Pairs Least Cost Path Problem. In: Mehlhorn, K. (eds) STACS 85. STACS 1985. Lecture Notes in Computer Science, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0024016

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  • DOI: https://doi.org/10.1007/BFb0024016

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13912-6

  • Online ISBN: 978-3-540-39136-4

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