Toroidal embeddings of abstractly planar graphs are knotted or linked

被引：6

作者：

Barthel, Senja ^{[1
]}

Buck, Dorothy ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, London, England

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2015年 / 53卷 / 08期

关键词：

Topological graphs; Templating on a toroidal substrate; Knots and links; INORGANIC 3D NETWORKS; CHEMICAL TOPOLOGY; TREFOIL KNOT; DATABASE;

D O I：

10.1007/s10910-015-0519-1

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

We give explicit deformations of embeddings of abstractly planar graphs that lie on the standard torus and that contain neither a nontrivial knot nor a nonsplit link into the plane. It follows that ravels do not embed on the torus. Our results provide general insight into properties of molecules that are synthesized on a torus.

引用

页码：1772 / 1790

页数：19

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[1] Toroidal embeddings of abstractly planar graphs are knotted or linked
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Dorothy Buck
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[2] Erratum to: Toroidal embeddings of abstractly planar graphs are knotted or linked
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Dorothy Buck
[J]. Journal of Mathematical Chemistry, 2017, 55 : 1887 - 1887
[3] Toroidal embeddings of abstractly planar graphs are knotted or linked (vol 53, pg 1772, 2015)
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