Publikation: Three results related to the half-plane property of matroids
Lade...
Dateien
Datum
2025
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Gold
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Algebraic Combinatorics. Centre Mersenne. 2025, 8(1), S. 1-15. eISSN 2589-5486. Verfügbar unter: doi: 10.5802/alco.399
Zusammenfassung
We settle three problems from the literature on stable and real zero polynomials and their connection to matroid theory. We disprove the weak real zero amalgamation conjecture by Schweighofer and the second author. We disprove a conjecture by Brändén and D’León by finding a relaxation of a matroid with the weak half-plane property that does not have the weak half-plane property itself. Finally, we prove that every quaternionic unimodular matroid has the half-plane property which was conjectured by Pendavingh and van Zwam.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
matroids, half-plane property, real zero polynomials, hyperbolic polynomials
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
KUMMER, Mario, David SAWALL, 2025. Three results related to the half-plane property of matroids. In: Algebraic Combinatorics. Centre Mersenne. 2025, 8(1), S. 1-15. eISSN 2589-5486. Verfügbar unter: doi: 10.5802/alco.399BibTex
@article{Kummer2025-03-03Three-73786,
title={Three results related to the half-plane property of matroids},
year={2025},
doi={10.5802/alco.399},
number={1},
volume={8},
journal={Algebraic Combinatorics},
pages={1--15},
author={Kummer, Mario and Sawall, David}
}RDF
<rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/73786">
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:issued>2025-03-03</dcterms:issued>
<dc:rights>terms-of-use</dc:rights>
<dcterms:abstract>We settle three problems from the literature on stable and real zero polynomials and their connection to matroid theory. We disprove the weak real zero amalgamation conjecture by Schweighofer and the second author. We disprove a conjecture by Brändén and D’León by finding a relaxation of a matroid with the weak half-plane property that does not have the weak half-plane property itself. Finally, we prove that every quaternionic unimodular matroid has the half-plane property which was conjectured by Pendavingh and van Zwam.</dcterms:abstract>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-07-02T10:12:33Z</dcterms:available>
<dc:creator>Kummer, Mario</dc:creator>
<dcterms:title>Three results related to the half-plane property of matroids</dcterms:title>
<dc:contributor>Kummer, Mario</dc:contributor>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/73786/4/Kummer_2-ia6mdxcsbewc8.pdf"/>
<dc:creator>Sawall, David</dc:creator>
<dc:contributor>Sawall, David</dc:contributor>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/73786/4/Kummer_2-ia6mdxcsbewc8.pdf"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-07-02T10:12:33Z</dc:date>
<dc:language>eng</dc:language>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/73786"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
