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article · SIAM Journal on Computing · 1987

Binary Search on a Tape

T. C. Hu, Michelle L. Wachs

Cited by 9Abstract and details only

Abstract

Given n records stored alphabetically on a tape, any comparison search procedure can be characterized by a binary tree. The complete binary tree (binary search) uses the minimum number of comparisons but not the minimum number of movements. The linear binary tree (sequential search) uses the minimum number of movements but not the minimum number of comparisons. A tape-optimal tree is a tree which minimizes the total cost of comparisons and movements. The tape-optimal tree is a “hybrid” of the linear tree and the complete binary tree, and is characterized for arbitrary n.

Cite this paper

APA 7

Hu, T. C., & Wachs, M. L. (1987). Binary Search on a Tape. SIAM Journal on Computing, 16(3), 573–590. https://doi.org/10.1137/0216039

MLA 9

Hu, T. C., and Michelle L. Wachs. “Binary Search on a Tape.” SIAM Journal on Computing, vol. 16, no. 3, 1987, pp. 573–90, https://doi.org/10.1137/0216039.

Chicago

Hu, T. C., and Michelle L. Wachs. 1987. “Binary Search on a Tape.” SIAM Journal on Computing 16 (3): 573–90. https://doi.org/10.1137/0216039.

Harvard

Hu, T.C. and Wachs, M.L. (1987) ‘Binary Search on a Tape’, SIAM Journal on Computing, 16(3), pp. 573–590. Available at: https://doi.org/10.1137/0216039.

BibTeX
@article{hu1987binary,
  title = {{Binary Search on a Tape}},
  author = {Hu, T. C. and Wachs, Michelle L.},
  journal = {SIAM Journal on Computing},
  volume = {16},
  number = {3},
  pages = {573--590},
  year = {1987},
  doi = {10.1137/0216039}
}

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