Extension Complexity, MSO Logic, and Treewidth

We consider the convex hull $P_{\varphi}(G)$ of all satisfying assignments of a given MSO formula $\varphi$ on a given graph $G$. We show that there exists an extended formulation of the polytope $P_{\varphi}(G)$ that can be described by $f(|\varphi|,\tau)\cdot n$ inequalities, where $n$ is the numb...

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Bibliographic Details
Main Authors: Petr Kolman, Martin Koutecký, Hans Raj Tiwary
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-10-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5583/pdf