학술논문
Core-based criterion for extreme supermodular functions
Document Type
Working Paper
Author
Source
Discrete Applied Mathematics, 206:122-151, 2016
Subject
Language
Abstract
We give a necessary and sufficient condition for extremality of a supermodular function based on its min-representation by means of (vertices of) the corresponding core polytope. The condition leads to solving a certain simple linear equation system determined by the combinatorial core structure. Our result allows us to characterize indecomposability in the class of generalized permutohedra. We provide an in-depth comparison between our result and the description of extremality in the supermodular/submodular cone achieved by other researchers.