Knotted projections of planar graphs

Kouki Taniyama

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

Knotted projections of planar graphs

Kouki Taniyama^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3575-3579
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-1995-1301531-0
Publication status	Published - 1995 Nov
Externally published	Yes

Keywords

Knot
Planar graph
Regular projection

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1995-1301531-0

Cite this

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title = "Knotted projections of planar graphs",

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.",

keywords = "Knot, Planar graph, Regular projection",

author = "Kouki Taniyama",

year = "1995",

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doi = "10.1090/S0002-9939-1995-1301531-0",

language = "English",

volume = "123",

pages = "3575--3579",

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AU - Taniyama, Kouki

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N2 - 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.

AB - 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.

KW - Knot

KW - Planar graph

KW - Regular projection

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DO - 10.1090/S0002-9939-1995-1301531-0

M3 - Article

AN - SCOPUS:21844521943

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SP - 3575

EP - 3579

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

Knotted projections of planar graphs

Abstract

Keywords

ASJC Scopus subject areas

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