Toroidal fullerenes with the Cayley graph structures

Ming-Hsuan Kang

doi:10.1016/j.disc.2011.06.018

Toroidal fullerenes with the Cayley graph structures

Ming-Hsuan Kang^*

^*此作品的通信作者

應用數學系

研究成果: Article › 同行評審

9 引文斯高帕斯（Scopus）

摘要

We classify all possible structures of fullerene Cayley graphs. We give each one a geometric model and compute the spectra of its finite quotients. Moreover, we give a quick and simple estimation for a given toroidal fullerene. Finally, we provide a realization of those families in three-dimensional space.

原文	English
頁（從 - 到）	2384-2395
頁數	12
期刊	Discrete Mathematics
卷	311
發行號	21
DOIs	https://doi.org/10.1016/j.disc.2011.06.018
出版狀態	Published - 6 11月 2011

存取文件

10.1016/j.disc.2011.06.018

其它文件與鏈接

Link to publication in Scopus

引用此

@article{ee0a23e9179443e485914b3ab1611b6b,

title = "Toroidal fullerenes with the Cayley graph structures",

abstract = "We classify all possible structures of fullerene Cayley graphs. We give each one a geometric model and compute the spectra of its finite quotients. Moreover, we give a quick and simple estimation for a given toroidal fullerene. Finally, we provide a realization of those families in three-dimensional space.",

keywords = "Cayley graph, Fullerene, HOMOLUMO gap, Toroidal graph",

author = "Ming-Hsuan Kang",

year = "2011",

month = nov,

day = "6",

doi = "10.1016/j.disc.2011.06.018",

language = "English",

volume = "311",

pages = "2384--2395",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "21",

}

TY - JOUR

T1 - Toroidal fullerenes with the Cayley graph structures

AU - Kang, Ming-Hsuan

PY - 2011/11/6

Y1 - 2011/11/6

N2 - We classify all possible structures of fullerene Cayley graphs. We give each one a geometric model and compute the spectra of its finite quotients. Moreover, we give a quick and simple estimation for a given toroidal fullerene. Finally, we provide a realization of those families in three-dimensional space.

AB - We classify all possible structures of fullerene Cayley graphs. We give each one a geometric model and compute the spectra of its finite quotients. Moreover, we give a quick and simple estimation for a given toroidal fullerene. Finally, we provide a realization of those families in three-dimensional space.

KW - Cayley graph

KW - Fullerene

KW - HOMOLUMO gap

KW - Toroidal graph

UR - http://www.scopus.com/inward/record.url?scp=80052587027&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2011.06.018

DO - 10.1016/j.disc.2011.06.018

M3 - Article

AN - SCOPUS:80052587027

SN - 0012-365X

VL - 311

SP - 2384

EP - 2395

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 21

ER -

Toroidal fullerenes with the Cayley graph structures

摘要

存取文件

其它文件與鏈接

指紋

引用此