Core-based criterion for extreme supermodular functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00459059" target="_blank" >RIV/67985556:_____/16:00459059 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.dam.2016.01.019" target="_blank" >http://dx.doi.org/10.1016/j.dam.2016.01.019</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.dam.2016.01.019" target="_blank" >10.1016/j.dam.2016.01.019</a>

Result language
angličtina
Original language name
Core-based criterion for extreme supermodular functions
Original language description
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. This 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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA13-20012S" target="_blank" >GA13-20012S: Conditional independence structures: algebraic and geometric methods</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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