Cyclic flats of a polymatroid

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F20%3A00533846" target="_blank" >RIV/67985556:_____/20:00533846 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00026-020-00506-3" target="_blank" >https://link.springer.com/article/10.1007/s00026-020-00506-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00026-020-00506-3" target="_blank" >10.1007/s00026-020-00506-3</a>

Result language
angličtina
Original language name
Cyclic flats of a polymatroid
Original language description
Polymatroids can be considered as “fractional matroids” where the rank function is not required to be integer valued. Many, but not every notion in matroid terminology translates naturally to polymatroids. Defining cyclic flats of a polymatroid carefully, the characterization by Bonin and de Mier of the ranked lattice of cyclic flats carries over to polymatroids. The main tool, which might be of independent interest, is a convolution-like method which creates a polymatroid from a ranked lattice and a discrete measure. Examples show the ease of using convolution technique.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-04579S" target="_blank" >GA19-04579S: Conditonal independence structures: methods of polyhedral geometry</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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