All toroidal embeddings of polyhedral graphs in 3-space are chiral

T. Castle; Myfanwy E. Evans; S. T. Hyde

doi:10.1039/b907338h

All toroidal embeddings of polyhedral graphs in 3-space are chiral

T. Castle, Myfanwy E. Evans, S. T. Hyde

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

14 Citations (Scopus)

Abstract

We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose minimal embeddings lie in the genus-one torus. Various analyses to show that all examples are chiral. This result suggests a simple route to forming chiral molecules via templating on a toroidal substrate.

Original language	English
Pages (from-to)	2107-2113
Number of pages	7
Journal	New Journal of Chemistry
Volume	33
Issue number	10
DOIs	https://doi.org/10.1039/b907338h
Publication status	Published - 2009

Access to Document

10.1039/b907338h

Cite this

@article{a9d7a9cd2fd14f6791f85a5ce8aab19a,

title = "All toroidal embeddings of polyhedral graphs in 3-space are chiral",

abstract = "We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose minimal embeddings lie in the genus-one torus. Various analyses to show that all examples are chiral. This result suggests a simple route to forming chiral molecules via templating on a toroidal substrate.",

author = "T. Castle and Evans, {Myfanwy E.} and Hyde, {S. T.}",

year = "2009",

doi = "10.1039/b907338h",

language = "English",

volume = "33",

pages = "2107--2113",

journal = "New Journal of Chemistry",

issn = "1144-0546",

publisher = "Royal Society of Chemistry",

number = "10",

}

TY - JOUR

T1 - All toroidal embeddings of polyhedral graphs in 3-space are chiral

AU - Castle, T.

AU - Evans, Myfanwy E.

AU - Hyde, S. T.

PY - 2009

Y1 - 2009

N2 - We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose minimal embeddings lie in the genus-one torus. Various analyses to show that all examples are chiral. This result suggests a simple route to forming chiral molecules via templating on a toroidal substrate.

AB - We investigate the possibility of forming achiral knottings of polyhedral (3-connected) graphs whose minimal embeddings lie in the genus-one torus. Various analyses to show that all examples are chiral. This result suggests a simple route to forming chiral molecules via templating on a toroidal substrate.

UR - http://www.scopus.com/inward/record.url?scp=70350020464&partnerID=8YFLogxK

U2 - 10.1039/b907338h

DO - 10.1039/b907338h

M3 - Article

SN - 1144-0546

VL - 33

SP - 2107

EP - 2113

JO - New Journal of Chemistry

JF - New Journal of Chemistry

IS - 10

ER -

All toroidal embeddings of polyhedral graphs in 3-space are chiral

Abstract

Access to Document

Other files and links

Cite this