Perfect Matching in Random Graphs is as Hard as Tseitin
We study the complexity of proving that a sparse random regular graph on an odd number of vertices does not have a perfect matching, and related problems involving each vertex being matched some pre-specified number of times. We show that this requires proofs of degree $\Omega(n / \log n)$ in the Po...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
TheoretiCS Foundation e.V.
2022-12-01
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Series: | TheoretiCS |
Subjects: | |
Online Access: | https://theoretics.episciences.org/9012/pdf |