Optimal dynamic embedding of X-trees into arrays (Q1105377)
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scientific article; zbMATH DE number 4058872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal dynamic embedding of X-trees into arrays |
scientific article; zbMATH DE number 4058872 |
Statements
Optimal dynamic embedding of X-trees into arrays (English)
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1988
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We present a dynamic embedding of the contents of a storage medium organized as an X-tree into a storage medium organized as a d-dimensional array. Let X be a multihead bounded activity machine with a single storage tape organized as an X-tree. A multihead bounded activity machine D with a single tape organized as a d-dimensional array is used to simulate X on-line. If X runs in time t(n) on inputs of length n, then D simulates X in time \(O(t(n)^{1+1/d}/\log t(n))\). Furthermore, this simulation is optimal.
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on-line simulation
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dynamic embedding
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storage medium
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X-tree
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array
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multihead bounded activity machine
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