A note on geometric duality in matroid theory and knot theory

DISCRETE APPLIED MATHEMATICS（2022）

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摘要

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. (C) 2022 Elsevier B.V. All rights reserved.

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关键词

Checkerboard graph, Dual, Knot, Link, Matroid, Planar graph

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