A nonlinear lower bound on linear search tree programs for solving knapsack problems

David Dobkin

doi:10.1016/S0022-0000(76)80051-7

A nonlinear lower bound on linear search tree programs for solving knapsack problems

David Dobkin

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

By the method of region counting, a lower bound of n log₂ nn queries is obtained onlinear search tree programs which solve the n-dimensional knapsack problem. The region counting involves studying the structure of a subset of the hyperplanes defined by the problem. For this subset of hyperplanes, the result is shown to be tight.

Original language	English (US)
Pages (from-to)	69-73
Number of pages	5
Journal	Journal of Computer and System Sciences
Volume	13
Issue number	1
DOIs	https://doi.org/10.1016/S0022-0000(76)80051-7
State	Published - Aug 1976

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science
Computer Networks and Communications
Computational Theory and Mathematics
Applied Mathematics

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10.1016/S0022-0000(76)80051-7

Cite this

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title = "A nonlinear lower bound on linear search tree programs for solving knapsack problems",

abstract = "By the method of region counting, a lower bound of n log2 nn queries is obtained onlinear search tree programs which solve the n-dimensional knapsack problem. The region counting involves studying the structure of a subset of the hyperplanes defined by the problem. For this subset of hyperplanes, the result is shown to be tight.",

author = "David Dobkin",

note = "Funding Information: by NSF Travel Grant DCR75-15624. Funding Information: * Portions of this research were supported by the ONR under Grant N00014-75-C-0450 and",

year = "1976",

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PY - 1976/8

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N2 - By the method of region counting, a lower bound of n log2 nn queries is obtained onlinear search tree programs which solve the n-dimensional knapsack problem. The region counting involves studying the structure of a subset of the hyperplanes defined by the problem. For this subset of hyperplanes, the result is shown to be tight.

AB - By the method of region counting, a lower bound of n log2 nn queries is obtained onlinear search tree programs which solve the n-dimensional knapsack problem. The region counting involves studying the structure of a subset of the hyperplanes defined by the problem. For this subset of hyperplanes, the result is shown to be tight.

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A nonlinear lower bound on linear search tree programs for solving knapsack problems

Abstract

All Science Journal Classification (ASJC) codes

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