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Multidimensional Balanced Binary Trees
July 1989 (vol. 38 no. 7)
pp. 968-985
A new balanced multidimensional tree structure called a k-dimensional balanced binary tree, where k is a positive integer, is presented and integrated. It is shown that the data structure can be used to manage a set of n k-dimensional data items such that access, insertion, and deletion operations can be supported in O(log n+k) time. The data structure is a multidimensional generalization of a

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Index Terms:
balanced multidimensional tree structure; k-dimensional balanced binary tree; positive integer; data structure; access; insertion; deletion; data structures; trees (mathematics).
V.K. Vaishnavi, "Multidimensional Balanced Binary Trees," IEEE Transactions on Computers, vol. 38, no. 7, pp. 968-985, July 1989, doi:10.1109/12.30849
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