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Between the leaves and the nodes of a complete binary tree, a separateparent-child-sister hierarchy is employed independent of theparent-child-sister hierarchy used for the rest of the tree. Two differentversions of such a local hierarchy are introduced. The result of the firstproposed hierarchy is a faster and smaller footprint, while the second oneprovides the size variation functionality without a significant computationaloverhead. This novel approach brings considerable memory gains and performanceboosts to the complete binary tree based algorithms.

ReducedCBT and SuperCBT, Two New and Improved Complete Binary Tree Structures