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Author

Gabriel Marques Domingues

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Preprint Oct 2026

Achieving Optimal Redundancy for Small Dynamic Rank/Select Dictionaries

In this paper, we study the number of bits required to construct a dynamic dictionary with optimal time for $\texttt{rank}/\texttt{select}$ operations. Using the standard (multiplication) Word-RAM model with $w$-bit words, we construct a data-structure for a dynamic $\texttt{rank}/\texttt{select}$ dictionary for a set...

Gabriel Marques Domingues · 0 citations
Preprint Aug 2026

Dynamic Edge Orientation via Random Walks: From Trees to Outerplanar Graphs and Beyond

The algorithm maintains constant outdegree with $O(\log n)$ worst-case update time, where the time bound holds in expectation, and also with high probability for polynomially long update sequences.

Gabriel Marques Domingues, Minh Hang Nguyen, Shay Solomon · 0 citations

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