A note on geometric duality in matroid theory and knot theory

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Abstract
  • We observe that for planar graphs, the geometric duality relation generates both 2-isomorphism and abstract duality. This observation has the surprising consequence that for links, the equivalence relation defined by isomorphisms of checkerboard graphs is the same as the equivalence relation defined by 2-isomorphisms of checkerboard graphs.
TitleA note on geometric duality in matroid theory and knot theory
CreatorTraldi, Lorenzo
PublisherDiscrete Applied Mathematics
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedOctober 30, 2022
Date Available2023-01-24
TypeArticle
LanguageEnglish
KeywordKnot
Dual
Link
Checkerboard graph
Planar graph
Matroid
Bibliographic CitationTraldi, L. (2022 Oct 30) "A note on geometric duality in matroid theory and knot theory." Discrete Applied Mathematics 320: 184-190.
Standard IdentifierHandle 10385/rx913r410
DOI 10.1016/j.dam.2022.05.002
Permalinkhttp://hdl.handle.net/10385/rx913r410
Rights Statement In Copyright In Copyright
Rights HoldersElsevier B.V.
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File Traldi-DiscreteAppliedMathematics-vol320-2022.pdf Uploaded 2023-01-24 Public Download

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