• Corpus ID: 228375389

# On the Bond Polytope

@article{Chimani2020OnTB,
title={On the Bond Polytope},
author={Markus Chimani and Martina Juhnke-Kubitzke and Alexander Nover},
journal={ArXiv},
year={2020},
volume={abs/2012.06288}
}
• Published 11 December 2020
• Mathematics
• ArXiv
Given a graph $G=(V,E)$, the maximum bond problem searches for a maximum cut $\delta(S) \subseteq E$ with $S \subseteq V$ such that $G[S]$ and $G[V\setminus S]$ are connected. This problem is closely related to the well-known maximum cut problem and known under a variety of names such as largest bond, maximum minimal cut and maximum connected (sides) cut. The bond polytope is the convex hull of all incidence vectors of bonds. Similar to the connection of the corresponding optimization problems…

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