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Cyclic Flats of a Polymatroid
Title / Series / Name
Annals of Combinatorics
Publication Volume
24
Publication Issue
4
Pages
Authors
Editors
Keywords
URI
http://hdl.handle.net/20.500.14018/13850
Abstract
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 the convolution technique.
Topic
Publisher
Place of Publication
Type
Journal article
Date
2020
Language
ISBN
Identifiers
10.1007/s00026-020-00506-3