Site-specific Gordian distances of spatial graphs

Kouki Taniyama

doi:10.1142/S0218216521410169

Site-specific Gordian distances of spatial graphs

Kouki Taniyama^*

^*Corresponding author for this work

School of Education

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

Abstract

A site-specific Gordian distance between two spatial embeddings of an abstract graph is the minimal number of crossing changes from one to another where each crossing change is performed between two previously specified abstract edges of the graph. It is infinite in some cases. We determine the site-specific Gordian distance between two spatial embeddings of an abstract graph in certain cases. It has an application to puzzle ring problem. The site-specific Gordian distances between Milnor links and trivial links are determined. We use covering space theory for the proofs.

Original language	English
Article number	2141016
Journal	Journal of Knot Theory and its Ramifications
Volume	30
Issue number	14
DOIs	https://doi.org/10.1142/S0218216521410169
Publication status	Published - 2021 Dec 1

Keywords

Knot
Milnor link
covering space
link
puzzle ring
site-specific Gordian distance
spatial graph

ASJC Scopus subject areas

Algebra and Number Theory

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10.1142/S0218216521410169

Cite this

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abstract = "A site-specific Gordian distance between two spatial embeddings of an abstract graph is the minimal number of crossing changes from one to another where each crossing change is performed between two previously specified abstract edges of the graph. It is infinite in some cases. We determine the site-specific Gordian distance between two spatial embeddings of an abstract graph in certain cases. It has an application to puzzle ring problem. The site-specific Gordian distances between Milnor links and trivial links are determined. We use covering space theory for the proofs. ",

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AB - A site-specific Gordian distance between two spatial embeddings of an abstract graph is the minimal number of crossing changes from one to another where each crossing change is performed between two previously specified abstract edges of the graph. It is infinite in some cases. We determine the site-specific Gordian distance between two spatial embeddings of an abstract graph in certain cases. It has an application to puzzle ring problem. The site-specific Gordian distances between Milnor links and trivial links are determined. We use covering space theory for the proofs.

KW - Knot

KW - Milnor link

KW - covering space

KW - link

KW - puzzle ring

KW - site-specific Gordian distance

KW - spatial graph

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JF - Journal of Knot Theory and its Ramifications

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ER -

Site-specific Gordian distances of spatial graphs

Abstract

Keywords

ASJC Scopus subject areas

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