License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.APPROX/RANDOM.2020.2
URN: urn:nbn:de:0030-drops-126053
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/12605/
Go to the corresponding LIPIcs Volume Portal

Ahn, Kwangjun

A Simpler Strong Refutation of Random k-XOR

pdf-format:
LIPIcs-APPROX2.pdf (0.5 MB)

Abstract

Strong refutation of random CSPs is a fundamental question in theoretical computer science that has received particular attention due to the long-standing gap between the information-theoretic limit and the computational limit. This gap is recently bridged by Raghavendra, Rao and Schramm where they study sub-exponential algorithms for the regime between the two limits. In this work, we take a simpler approach to their algorithms and analyses.

BibTeX - Entry

@InProceedings{ahn:LIPIcs:2020:12605,
  author =	{Kwangjun Ahn},
  title =	{{A Simpler Strong Refutation of Random k-XOR}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)},
  pages =	{2:1--2:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-164-1},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{176},
  editor =	{Jaros{\l}aw Byrka and Raghu Meka},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/12605},
  URN =		{urn:nbn:de:0030-drops-126053},
  doi =		{10.4230/LIPIcs.APPROX/RANDOM.2020.2},
  annote =	{Keywords: Strong refutation, Random k-XOR, Spectral method, Trace power method}
}

Keywords: Strong refutation, Random k-XOR, Spectral method, Trace power method
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2020)
Issue Date: 2020
Date of publication: 11.08.2020

DROPS-Home | Fulltext Search | Imprint | Privacy Published by LZI