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Determine worst case running time of a sequence of

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Unformatted text preview: ime of a sequence of data structure operations as a function of the input size. Ex. Starting from an empty stack implemented with a dynamic table, any sequence of n push and pop operations takes O(n) time in the worst case. 9 Amortized analysis: applications ・Splay trees. ・Dynamic table. ・Fibonacci heaps. ・Garbage collection. ・Move-to-front list updating. ・Push-relabel algorithm for max flow. ・Path compression for disjoint-set union. ・Structural modifications to red-black trees. ・Security, databases, distributed computing, ... SIAM J. ALG. DISC. METH. Vol. 6, No. 2, April 1985 1985 Society for Industrial and Applied Mathematics 016 AMORTIZED COMPUTATIONAL COMPLEXITY* ROBERT ENDRE TARJANt Abstract. A powerful technique in the complexity analysis of data structures is amortization, or averaging over time. Amortized running time is a realistic but robust complexity measure for which we can obtain surprisingly tight upper and lower bounds on a variety of algorithms. By follo...
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