Balanced Tree Structure with Reverse Links for Hierarchical Data
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Solution Overview
Problem
The existing tree structure for data management, which expresses hierarchical inclusion relations, becomes unbalanced due to variations in feature quantities of data elements, leading to inefficient data operations as it cannot be balanced through traditional tree rotation methods without disrupting the hierarchical structure.
Innovation Solution
A data management system that transforms the tree structure through rotation operations, storing reverse links and temporarily placed links to maintain balanced tree structures, allowing efficient search and insertion operations by expressing hierarchical relations through directional links rather than vertical relations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If tree rotation is performed to balance the tree structure, then the tree becomes balanced with O(log N) access time, but the hierarchical inclusion relations are disrupted and the tree can no longer properly express similarity relations
Solution Approach 1:
The patent segments the tree structure into two independent components: a balanced binary tree structure for efficient navigation and a separate hierarchical relation representation for maintaining inclusion relations. This is achieved by introducing additional data structures (parent pointers, depth markers, and relation metadata) that preserve hierarchical information independently of the tree's physical structure, allowing the tree to be balanced without losing relational integrity
Solution Approach 2:
The patent introduces intermediary data structures that mediate between the balanced tree structure and the hierarchical inclusion relations. These intermediaries include parent pointers that track hierarchical relationships, depth markers that indicate positional information, and relation metadata that preserves inclusion semantics. These intermediaries allow the tree to undergo rotation operations while maintaining accurate hierarchical relation tracking through the intermediary layer
2Reliability
If the tree structure is kept unbalanced to maintain hierarchical relations, then the structure properly expresses inclusion relations, but the access time becomes O(N) in the worst case
Solution Approach 1:
The patent adds another dimension to the tree structure by introducing explicit depth markers and parent pointer fields that operate independently from the tree's physical hierarchy. This dimensional addition allows the system to track hierarchical relations in a separate dimension from the physical tree structure, enabling the tree to be physically balanced while maintaining logical hierarchical integrity through the additional dimensional information
3Productivity
If traditional tree rotation is applied to balance the tree, then access efficiency improves, but the vertical relations between nodes are reversed and the tree structure becomes invalid for expressing hierarchical inclusion
Solution Approach 1:
The patent creates a logical copy of the hierarchical relation information that is independent of the physical tree structure. By maintaining separate parent pointers, depth markers, and relation metadata that replicate hierarchical information, the system allows the physical tree to undergo rotations for balancing while the logical copy preserves the original hierarchical relationships, effectively decoupling structural optimization from relational integrity
Data Source
AI summary
A data management system includes: a tree-structure-holding means for storing a transformed tree structure into which an original tree structure has been transformed by a rotation operation, the original tree structure being a tree structure indicating hierarchical inclusion relations among data sets associated with nodes; an inter-data-relation-holding means for storing a reverse link, the reverse link being a link between nodes the levels of which have been reversed by the rotation operation; and an inter-link-relation-holding means for storing a temporarily placed link in association with the reverse link, the temporarily placed link being a link to a node that has been transferred from immediately below an ex-lower-level node to immediately below an ex-upper-level node, the ex-lower-level node and the ex-upper-level node being nodes the levels of which have been reversed.