Original title: Basic facts concerning extreme supermodular functions
Authors: Studený, Milan
Document type: Research reports
Year: 2016
Language: eng
Series: Research Report, volume: 2359
Abstract: Elementary facts and observations on the cone of supermodular set functions are recalled. The manuscript deals with such operations with set functions which preserve supermodularity\nand the emphasis is put on those such operations which even preserve extremality (of a supermodular function). These involve a few self-transformations of the cone of supermodular set functions. Moreover, projections to the (less-dimensional) linear space of set functions for a subset of the variable set are discussed. Finally, several extensions to the (more-dimensional) linear space of set functions for a superset of the variable set are shown to be both preserving supermodularity and extremality.
Keywords: extreme supermodular function; standardizations; supermodular function
Project no.: GA16-12010S (CEP)
Funding provider: GA ČR

Institution: Institute of Information Theory and Automation AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://library.utia.cas.cz/separaty/2016/MTR/studeny-0467581.pdf
Original record: http://hdl.handle.net/11104/0266860

Permalink: http://www.nusl.cz/ntk/nusl-262579


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