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Lecture Notes in Computer Science
Many database systems that use a B + tree as the underlying data structure do not do rebalancing on deletion. This means that a bad sequence of deletions can create a very unbalanced tree. Yet such databases perform well in practice. Avoidance of rebalancing on deletion has been justified empirically and by average-case analysis, but to our knowledge no worst-case analysis has been done. We do such an analysis. We show that the tree height remains logarithmic in the number of insertions,doi:10.1007/978-3-642-10631-6_84 fatcat:atfmazzflfeivilcm7bklhmxfa