Knotted projections of planar graphs

Taniyama, Kouki

doi:10.1090/S0002-9939-1995-1301531-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Knotted projections of planar graphs
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Proc. Amer. Math. Soc. 123 (1995), 3575-3579 Request permission

Abstract:

In this paper we describe a regular projection of a planar graph that is achieved only by knotted embeddings in 3-space. We also give conditions under which any regular projection of such graphs can be achieved by unknotted embeddings.

References

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