Stick knots

Eric Furstenberg; Jie Li; Jodi Schneider

doi:10.1016/s0960-0779(97)00093-3

Stick knots

Eric Furstenberg, Jie Li, Jodi Schneider

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

Abstract

In this paper, we will examine the limitations of the superbridge index in providing lower bounds for the stick number of knots, introduce a new invariant which may improve lower bounds on stick number, and discuss how Conway's continued fraction notation for knots may be used to obtain new upper bounds for the stick number of certain infinite classes of knots.

Original language	English (US)
Pages (from-to)	561-568
Number of pages	8
Journal	Chaos, Solitons and Fractals
Volume	9
Issue number	4-5
DOIs	https://doi.org/10.1016/s0960-0779(97)00093-3
State	Published - Apr 1998
Externally published	Yes

Keywords

stick knots
knot theory
mathematics

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

Online availability

10.1016/s0960-0779(97)00093-3

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title = "Stick knots",

abstract = "In this paper, we will examine the limitations of the superbridge index in providing lower bounds for the stick number of knots, introduce a new invariant which may improve lower bounds on stick number, and discuss how Conway's continued fraction notation for knots may be used to obtain new upper bounds for the stick number of certain infinite classes of knots.",

keywords = "stick knots, knot theory, mathematics",

author = "Eric Furstenberg and Jie Li and Jodi Schneider",

note = "Funding Information: Acknowledgements-This paper was written while the authors were participatingi n the SMALL Undergraduate MathematicsR esearch Project at Williams College in the summero f 19%. The researchg roup was directed by Cohn Adams and fundedb y NSF-REU grant DMS-9531328T. he authorsw ere undergraduateas t Williams College, the University of Michigan and St. John{\textquoteright}s Cohege, respectivelyI.n quiries regardingt his paper shouldb e directedt o Cohn Adams, Departmento f MathematicsW. illiams College, Williamstown,M A 01267,U SA.",

year = "1998",

month = apr,

doi = "10.1016/s0960-0779(97)00093-3",

language = "English (US)",

volume = "9",

pages = "561--568",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "4-5",

}

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AU - Furstenberg, Eric

AU - Li, Jie

AU - Schneider, Jodi

N1 - Funding Information: Acknowledgements-This paper was written while the authors were participatingi n the SMALL Undergraduate MathematicsR esearch Project at Williams College in the summero f 19%. The researchg roup was directed by Cohn Adams and fundedb y NSF-REU grant DMS-9531328T. he authorsw ere undergraduateas t Williams College, the University of Michigan and St. John’s Cohege, respectivelyI.n quiries regardingt his paper shouldb e directedt o Cohn Adams, Departmento f MathematicsW. illiams College, Williamstown,M A 01267,U SA.

PY - 1998/4

Y1 - 1998/4

N2 - In this paper, we will examine the limitations of the superbridge index in providing lower bounds for the stick number of knots, introduce a new invariant which may improve lower bounds on stick number, and discuss how Conway's continued fraction notation for knots may be used to obtain new upper bounds for the stick number of certain infinite classes of knots.

AB - In this paper, we will examine the limitations of the superbridge index in providing lower bounds for the stick number of knots, introduce a new invariant which may improve lower bounds on stick number, and discuss how Conway's continued fraction notation for knots may be used to obtain new upper bounds for the stick number of certain infinite classes of knots.

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KW - knot theory

KW - mathematics

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DO - 10.1016/s0960-0779(97)00093-3

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EP - 568

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4-5

ER -

Stick knots

Abstract

Keywords

ASJC Scopus subject areas

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