Virtual Spatial Graphs

Thomas Fleming; Blake Mellor

Virtual Spatial Graphs

Thomas Fleming
, Blake Mellor

Mathematics, Statistics and Data Science

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

Abstract

Two natural generalizations of knot theory are t he study of spatially embedded graphs, and Kauffman's theory of virtual knots. In this paper we combine these approaches to begin the study of virtual spat ial graphs.

Original language	American English
Pages (from-to)	67-85
Journal	Kobe Journal of Mathematics
Volume	24
State	Published - 2007

Keywords

knot theory
spatially embedded graphs
virtual knots

Disciplines

Geometry and Topology

Cite this

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title = "Virtual Spatial Graphs",

abstract = " Two natural generalizations of knot theory are t he study of spatially embedded graphs, and Kauffman's theory of virtual knots. In this paper we combine these approaches to begin the study of virtual spat ial graphs.",

keywords = "knot theory, spatially embedded graphs, virtual knots",

author = "Thomas Fleming and Blake Mellor",

note = "Fleming, T. and B. Mellor, 2007: Virtual Spatial Graphs. Kobe J. Math., 24, 67-85.",

year = "2007",

language = "American English",

volume = "24",

pages = "67--85",

journal = "Kobe Journal of Mathematics",

}

TY - JOUR

T1 - Virtual Spatial Graphs

AU - Fleming, Thomas

AU - Mellor, Blake

N1 - Fleming, T. and B. Mellor, 2007: Virtual Spatial Graphs. Kobe J. Math., 24, 67-85.

PY - 2007

Y1 - 2007

N2 - Two natural generalizations of knot theory are t he study of spatially embedded graphs, and Kauffman's theory of virtual knots. In this paper we combine these approaches to begin the study of virtual spat ial graphs.

AB - Two natural generalizations of knot theory are t he study of spatially embedded graphs, and Kauffman's theory of virtual knots. In this paper we combine these approaches to begin the study of virtual spat ial graphs.

KW - knot theory

KW - spatially embedded graphs

KW - virtual knots

UR - https://digitalcommons.lmu.edu/math_fac/43

M3 - Article

VL - 24

SP - 67

EP - 85

JO - Kobe Journal of Mathematics

JF - Kobe Journal of Mathematics

ER -

Virtual Spatial Graphs

Abstract

Keywords

Disciplines

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Cite this