MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Interactions between discrete and continuous optimization and critical point theory via multi-way Lovász extensions
Jürgen Jost and Dong ZhangAbstract
We introduce and systematically study general discrete-to-continuous extensions, with several applications for combinatorial problems and discrete mathematics. This provides new perspectives for understanding relations and interactions between discrete and continuous worlds via multi-way extensions.
- Received:
- 16.03.20
- Published:
- 16.03.20
- Keywords:
- Lovász extension, submodularity, Combinatorial Optimization, discrete Morse theory, Lusternik-Schnirelman theory, Cheeger inequalities & isoperimetric problems, chromatic number