Topological symmetry groups of Mobius ladders

被引：5

作者：

Flapan, Erica ^{[1
]}

Lawrence, Emille Davie ^{[2
]}

机构：

[1] Pomona Coll, Dept Math, Claremont, CA 91711 USA

[2] Univ San Francisco, Dept Math, San Francisco, CA 94117 USA

来源：

关键词：

Topological symmetry group; spatial graph; molecular symmetries; Mobius ladder; COMPLETE GRAPHS;

D O I：

10.1142/S0218216514500771

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify all groups which can occur as the orientation preserving topological symmetry group of some embedding of a Mobius ladder graph in S-3.

引用

页数：13

共 50 条

[1] Topological order in Josephson junction ladders with Mobius boundary conditions
Cristofano, G
Marotta, V
Naddeo, A
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2005, : 89 - 101
[2] Molecular design and topological chirality of the T-q-Mobius ladders
Qiu, WY
Xin, HW
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1997, 401 (1-2): : 151 - 156
[3] TOPICITY OF VERTICES AND EDGES IN THE MOBIUS LADDERS - A TOPOLOGICAL RESULT WITH CHEMICAL IMPLICATIONS
WALBA, DM
SIMON, J
HARARY, F
TETRAHEDRON LETTERS, 1988, 29 (07) : 731 - 734
[4] SYMMETRIES OF MOBIUS LADDERS
FLAPAN, E
MATHEMATISCHE ANNALEN, 1989, 283 (02) : 271 - 283
[5] Rainbow connection numbers of ladders and Mobius ladders
Cai, Qingqiong
Ma, Yingbin
Song, Jiangli
ARS COMBINATORIA, 2017, 131 : 321 - 330
[6] Mobius manifolds, monoids, and retracts of topological groups
Hofmann, Karl H.
Martin, John R.
SEMIGROUP FORUM, 2015, 90 (02) : 301 - 316
[7] On the metric dimension of Mobius ladders
Ali, Murtaza
Ali, Gohar
Imran, Muhammad
Baig, A. Q.
Shafiq, Muhammad Kashif
ARS COMBINATORIA, 2012, 105 : 403 - 410
[8] ON MAGIC LABELINGS OF MOBIUS LADDERS
BACA, M
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1989, 326 (06): : 885 - 888
[9] 98ON MOBIUS LADDERS
GUY, RK
HARARY, F
CANADIAN MATHEMATICAL BULLETIN, 1967, 10 (04): : 493 - &
[10] Feedback Numbers of Mobius Ladders
Wang, Yijin
Zhang, Xinyue
Zhang, Sijia
2018 3RD INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND COGNITIVE INFORMATICS (ICICCI 2018), 2019, 25