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cs.DS2026
Optimal Non-Adaptive Vantage Point Selection
Jie Gao, Nicole Wein, Chang Wu
We study the \emph{vantage point selection} problem, introduced by Ashvinkumar, Chowdhury, Gao, Goswami, Mitchell, and Polishchuk [WADS'25] to model the problem of estimating bottl…
cs.DS2026
Tight Bounds for Memory Allocation With and Without Request Fragmentation
Michael A. Bender, Alex Conway, Martín Farach-Colton +3
The classical memory-allocation problem captures the task of placing objects of different sizes in memory, while minimizing the so-called memory high-water mark. It has been known…
cs.DS2026
Bounding the Fragmentation of B-Trees Subject to Batched Insertions
Michael A. Bender, Aaron Bernstein, Nairen Cao +5
The issue of internal fragmentation in data structures is a fundamental challenge in database design. A seminal result of Yao in this field shows that evenly splitting the leaves o…