Paper by Erik D. Demaine

Paul Christiano, Erik D. Demaine, and Shaunak Kishore, “Lossless Fault-Tolerant Data Structures with Additive Overhead”, in Proceedings of the 12th Algorithms and Data Structures Symposium (WADS 2011), Brooklyn, New York, August 15–17, 2011, pages 243–254.

We develop the first dynamic data structures that tolerate δ memory faults, lose no data, and incur only an Õ(δ) additive overhead in overall space and time per operation. We obtain such data structures for arrays, linked lists, binary search trees, interval trees, predecessor search, and suffix trees. Like previous data structures, δ must be known in advance, but we show how to restore pristine state in linear time, in parallel with queries, making δ just a bound on the rate of memory faults. Our data structures require Θ(δ) words of safe memory during an operation, which may not be theoretically necessary but seems a practical assumption.

The paper is 12 pages.

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Last updated July 23, 2024 by Erik Demaine.