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Graph Colouring Is Hard on Average for Polynomial Calculus and Nullstellensatz
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- Conneryd, Jonas (author)
- Lund University,Lunds universitet,Parallella System,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Parallel Systems,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen
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- De Rezende, Susanna F. (author)
- Lund University,Lunds universitet,Parallella System,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Parallel Systems,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH
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- Nordstrom, Jakob (author)
- Lund University,Lunds universitet,Parallella System,Institutionen för datavetenskap,Institutioner vid LTH,Lunds Tekniska Högskola,Parallel Systems,Department of Computer Science,Departments at LTH,Faculty of Engineering, LTH,University of Copenhagen
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- (creator_code:org_t)
- 2023
- 2023
- English 11 s.
- In: Proceedings - 2023 IEEE 64th Annual Symposium on Foundations of Computer Science, FOCS 2023. - 0272-5428. - 9798350318944 ; , s. 1-11
- Conference paper (peer-reviewed)
Abstract
Subject headings
Close
- We prove that polynomial calculus (and hence also Nullstellensatz) over any field requires linear degree to refute that sparse random regular graphs, as well as sparse Erdős-Rényi random graphs, are 3-colourable.
Subject headings
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datavetenskap (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Sciences (hsv//eng)
Keyword
- average-case complexity
- polynomial calculus
- Proof Complexity
Publication and Content Type
- kon (subject category)
- ref (subject category)
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- De Rezende, Susa ...
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- Pang, Shuo
- Risse, Kilian
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- NATURAL SCIENCES
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