Spatial Graphs with Local Knots

Erica Flapan; Blake Mellor; Ramin Naimi

Spatial Graphs with Local Knots

Erica Flapan, Blake Mellor, Ramin Naimi

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

Abstract

It is shown that for any locally knotted edge of a 3-connected graph in S ³ , there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S ³ .

Original language	American English
Pages (from-to)	493-510
Journal	Revista Matemática Complutense
Volume	25
Issue number	2
State	Published - 2012

Disciplines

Geometry and Topology

Cite this

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title = "Spatial Graphs with Local Knots",

abstract = " It is shown that for any locally knotted edge of a 3-connected graph in S 3 , there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S 3 .",

author = "Erica Flapan and Blake Mellor and Ramin Naimi",

note = "Mellor, B., E. Flapan and R. Naimi, 2012: Spatial Graphs with Local Knots, Revista Matem{\'a}tica Complutense, 25.2, 493-510, DOI: 10.1007/s13163-011-0072-9.",

year = "2012",

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volume = "25",

pages = "493--510",

journal = "Revista Matem{\'a}tica Complutense",

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T1 - Spatial Graphs with Local Knots

AU - Flapan, Erica

AU - Mellor, Blake

AU - Naimi, Ramin

N1 - Mellor, B., E. Flapan and R. Naimi, 2012: Spatial Graphs with Local Knots, Revista Matemática Complutense, 25.2, 493-510, DOI: 10.1007/s13163-011-0072-9.

PY - 2012

Y1 - 2012

N2 - It is shown that for any locally knotted edge of a 3-connected graph in S 3 , there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S 3 .

AB - It is shown that for any locally knotted edge of a 3-connected graph in S 3 , there is a ball that contains all of the local knots of that edge and is unique up to an isotopy setwise fixing the graph. This result is applied to the study of topological symmetry groups of graphs embedded in S 3 .

UR - https://digitalcommons.lmu.edu/math_fac/19

M3 - Article

VL - 25

SP - 493

EP - 510

JO - Revista Matemática Complutense

JF - Revista Matemática Complutense

IS - 2

ER -

Spatial Graphs with Local Knots

Abstract

Disciplines

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Cite this