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Recently, 2-protected nodes were studied in the context of ordered trees and$k$-trees. These nodes have a distance of at least 2 to each leaf. Here, westudy digital search trees, which are binary trees, but with a differentprobability distribution underlying. Our result says, that \emph{grosso modo}some 31% of the nodes are 2-protected. Methods include exponential generatingfunctions, contour integration, and some elements from $q$-analysis.

On protected nodes in Digital Search Trees