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S. Bhore

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Jul 2026

Approximation Algorithms for Geometric Maximum Coverage

A polynomial-time approximation algorithm with approximation factor strictly better than $1-1/e$ for any set system with linear 2-shallow cell complexity and any set system that can be decomposed into a constant number of such set systems is presented.

S. Bhore, Timothy M. Chan, Pasin Manurangsi · 0 citations
Conference 2026

Near-Optimal Dynamic Data Structures for Maximum Depth and Klee's Measure of Boxes

This approach integrates a classic grid-based partition framework with a novel charging analysis that controls the cost of structure-sensitive offline routines within each cell, to perform a global aggregation of the update time, by circumventing the worst-case costs associated with individual cell updates.

S. Bhore, Subhash Suri, Jie Xue et al. · 0 citations

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