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Pratyush Avi

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Preprint Jul 2026

Almost Navigable Graphs

It is proved that any dataset admits a $\gamma$-almost navigable graph with just $O\left(\frac{n}{1-\gamma}\right)$ edges, linear in the dataset size, and a randomized algorithm for constructing such a graph in near-linear time is presented.

Pratyush Avi, Christopher Musco · 0 citations