0533846 20240103224633.220201103235959.9 85089355783 000559295300001 10.1007/s00026-020-00506-3 12 s. P cav_un_epca*03114710218-0006244 (2020)637-648Springer polymatroid cyclic flat convolution ranked lattice cav_un_auth*0398469 Csirmaz Laszlo UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR HU Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/MTR/studeny-csirmaz-0533846.pdf https://link.springer.com/article/10.1007/s00026-020-00506-3 GA19-04579S GA ČR CZ cav_un_auth*0380558 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. WOS BA 10000 10100 10101 2021 1 RVO:67985556 http://hdl.handle.net/11104/0312098 S 3+4 Article Mathematics Applied A MATHEMATICS.APPLIED 0.621 0.077 11.8 0.00138 0.614 533 30 0.467 21.16 0.61 71 Q2 0.535 39 Q4 40.754 4.7 Q3 Q4 0.3 Q4 4.717 2020 85089355783 SCOPUS PUBMED 000559295300001 WOS cav_un_epca*0311471 Annals of Combinatorics 0218-0006 0219-3094 Roč. 24 č. 4 2020 637 648 Springer