English

Refuting Unique Game Conjecture

Computational Complexity 2015-11-10 v8

Abstract

In this short note, the author shows that the gap problem of some kk-CSPs with the support of its predicate the ground of a balanced pairwise independent distribution can be solved by a modified version of Hast's Algorithm BiLin that calls Charikar\&Wirth's SDP algorithm for two rounds in polynomial time, when kk is sufficiently large, the support of its predicate is combined by the grounds of three biased homogeneous distributions and the three biases satisfy certain conditions. To conclude, the author refutes Unique Game Conjecture, assuming PNPP\ne NP.

Cite

@article{arxiv.1504.00442,
  title  = {Refuting Unique Game Conjecture},
  author = {Peng Cui},
  journal= {arXiv preprint arXiv:1504.00442},
  year   = {2015}
}

Comments

6 pages, short note. arXiv admin note: substantial text overlap with arXiv:1401.6520

R2 v1 2026-06-22T09:08:36.182Z