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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > UNIVERSAL OPTIMALITY:
Reports tagged with Universal Optimality:
TR25-216 | 3rd December 2025
Klim Efremenko, Gillat Kol, Raghuvansh Saxena, Zhijun Zhang

Universally Optimal Streaming Algorithm for Random Walks in Dense Graphs

Sampling a random walk is a fundamental primitive in many graph applications. In the streaming model, it is known that sampling an $L$-step random walk on an $n$-vertex directed graph requires $\Omega(n L)$ space, implying that no sublinear-space streaming algorithm exists for general graphs.

We show that sublinear algorithms are ... more >>>




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