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Cyclic flats of binary matroids
Aalto Univ, Aalto, Finland..
Aalto Univ, Aalto, Finland..
Aalto Univ, Aalto, Finland..
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. Malardalen Univ. (MAM)
2021 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 127, article id 102165Article in journal (Refereed) Published
Abstract [en]

In this paper, first steps are taken towards characterizing rank-decorated lattices of cyclic flats Z(M) that belong to matroids M that can be represented over a prescribed finite field F-q. Two natural maps from Z(M) to the lattice of cyclic flats of a minor of M are given. Binary matroids are characterized via their lattice of cyclic flats. It is shown that the lattice of cyclic flats of a simple binary matroid without isthmuses is atomic.

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2021. Vol. 127, article id 102165
Keywords [en]
Cyclic flats, Binary matroids, Atomic lattices
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:mdh:diva-54126DOI: 10.1016/j.aam.2021.102165ISI: 000636081100005Scopus ID: 2-s2.0-85100033597OAI: oai:DiVA.org:mdh-54126DiVA, id: diva2:1553716
Available from: 2021-05-10 Created: 2021-05-10 Last updated: 2021-06-21Bibliographically approved

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Westerback, Thomas

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