Interactions between discrete and continuous optimization and critical point theory via multi-way Lovász extensions
Jürgen Jost and Dong Zhang
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Submission date: 16. Mar. 2020
Keywords and phrases: Lovász extension, submodularity, Combinatorial Optimization, discrete Morse theory, Lusternik-Schnirelman theory, Cheeger inequalities & isoperimetric problems, chromatic number
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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.