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FOCS
2002
IEEE

Implicit B-Trees: New Results for the Dictionary Problem

14 years 3 months ago
Implicit B-Trees: New Results for the Dictionary Problem
We reopen the issue of finding an implicit data structure for the dictionary problem. In particular, we examine the problem of maintaining Ò data values in the first Ò locations of an array in such a way that we can efficiently perform the operations insert, delete and search. No information other than Ò and the data is to be retained; and the only operations which we may perform on the data values (other than reads and writes) are comparisons. Our structure supports these operations in Ç´ÐÓ ¾ Ò ÐÓ ÐÓ Òµ time, marking the first improvement on the problem since the mid 1980’s. En route we develop a number of space efficient techniques for handling segments of a large array in a memory hierarchy. We achieve a cost of Ç´ÐÓ Òµ block transfers like in regular B-trees, under the realistic assumption that a block stores ª´ÐÓ Òµ keys, so that reporting Ö consecutive keys in sorted order has a cost of Ç´ÐÓ Ò·Ö µblock transfers. Being implicit, our B-t...
Gianni Franceschini, Roberto Grossi, J. Ian Munro,
Added 14 Jul 2010
Updated 14 Jul 2010
Type Conference
Year 2002
Where FOCS
Authors Gianni Franceschini, Roberto Grossi, J. Ian Munro, Linda Pagli
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