Query-Optimal Partially Persistent B-Trees with Constant Worst-Case Update Time

Abstract

In this paper we present the first data structure for partially persistent B-trees with constant worst-case update time, where deletions are handled in a symmetrical to insertions manner. Our structure matches the query times of optimal partially persistent B-trees that do not support constant update time thus, we have managed to reduce the worst-case update time to a constant, without a penalty in the query times. The new data structure is produced by mixing two other data structures, (a) the partially persistent B-tree and (b) the balanced search tree with constant worst-case update time.