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...

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Bibliographic Details
Main Authors: Per Austrin, Kilian Risse
Format: Article
Language:English
Published: TheoretiCS Foundation e.V. 2022-12-01
Series:TheoretiCS
Subjects:
Online Access:https://theoretics.episciences.org/9012/pdf