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

Abstract: Between the leaves and the nodes of a complete binary tree, a separate parent-child-sister hierarchy is employed independent of the parent-child-sister hierarchy used for the rest of the tree. Two different versions of such a local hierarchy are introduced. The result of the first proposed hierarchy is a faster and smaller footprint, while the second one provides the size variation functionality without a significant computational overhead. This novel approach brings considerable memory gains and performance boosts to the complete binary tree based algorithms.