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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Knotted projections of planar graphs


Author: Kouki Taniyama
Journal: Proc. Amer. Math. Soc. 123 (1995), 3575-3579
MSC: Primary 57M25; Secondary 05C10, 57M15
MathSciNet review: 1301531
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Abstract | References | Similar Articles | Additional Information

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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1301531-0
PII: S 0002-9939(1995)1301531-0
Keywords: Knot, planar graph, regular projection
Article copyright: © Copyright 1995 American Mathematical Society



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