cs.CC · 2026-08-18 · No. 88

Computational Complexity, 2026-08-18.

1 new papers in cs.CC. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Superlogarithmic Gap Result for LCLs on Trees in Quantum-LOCAL

    Francesco d'Amore, Henrik Lievonen

    cs.CC · cs.DC

    We show that, on trees, any locally checkable labeling problem (LCL) $Π$ that can be solved by an $n^{o(1)}$-dependent distribution can also be solved by an $O(\log n)$-round deterministic LOCAL algorithm. The result is obtained through a rake-and-compress-style decomposition of the input tree, and local simulations of the bounded dependent distribution on the components of the decomposition. As a corollary to our result, any LCL problem on...

    arxiv.org/abs/2608.16854 · PDF

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