Sep 7, 2024 · In this paper, we refine the (almost) existentially optimal distributed Laplacian solver of Forster, Goranci, Liu, Peng, Sun, and Ye (FOCS '21) ...

Jul 31, 2023 · The only known technique in distributed computing for designing algorithms that go below the \sqrt{n}-bound is the low-congestion shortcut ...

In this work we refine the analysis of the distributed Laplacian solver recently established by Forster, Goranci, Liu, Peng, Sun, and Ye (FOCS '21), via the ...

Sep 11, 2021 · This primitive can be readily used to accelerate the FOCS`21 Laplacian solver. We believe this primitive will find further independent ...

Indeed, as we previously explained, both of our accelerated Laplacian solvers rely on faster algorithms for solving the congested part-wise aggregation problem.

Conditioned on improvements in state-of-the-art constructions of low-congestion shortcuts, the CONGEST results will match the Supported-CONGEST ones. Moreover, ...

Jul 21, 2022 · This primitive accelerates the Laplacian solver ... Almost universally optimal distributed Laplacian solvers via low-congestion shortcuts.

PDF | In this paper, we refine the (almost) existentially optimal distributed Laplacian solver of Forster, Goranci, Liu, Peng, Sun, and Ye (FOCS `21).

Jul 20, 2022 · Namely, we show that any Laplacian system on an n-node graph with shortcut quality SQ (G) can be solved after no(1)SQ(G) log (1/ε) rounds, ...

In this paper, we refine the (almost) existentially optimal distributed Laplacian solver recently developed by Forster, Goranci, Liu, Peng, Sun, and Ye (FOCS ' ...