A Linear Time Algorithm for Optimal Tree Sibling Partitioning and Approximation Algorithms in Natix
Summary: Presents a linear-time algorithm for optimal partitioning of an ordered, weighted tree into fixed-capacity partitions, enabling adjacent siblings to share a partition (sibling partitioning). Also provides memory-light near-optimal heuristics; experiments show >90% fewer partitions and >2× faster queries than parent–child-only partitioning. (summarized by gpt-5-nano on Feb 09 2026)
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| 98 | XMark: A Benchmark for XML Data Management | 2002 | VLDB | 0.00050023808 |
| 1,893 | On the Performance of Object Clustering Techniques | 1992 | SIGMOD | 0.00010184132 |
| 2,069 | System RX: One Part Relational, One Part XML | 2005 | SIGMOD | 9.6329563e-05 |
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