Topological symmetry groups of the Petersen graph-Reference-Cited by-同舟云学术

Topological symmetry groups of the Petersen graph

Published:2021-10 Issue:12 Volume:30 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Chambers D.¹²³⁴⁵,Flapan E.¹²³⁴⁵,Heath D.¹²³⁴⁵,Lawrence E.¹²³⁴⁵,Thatcher C.¹²³⁴⁵,Vanderpool R.¹²³⁴⁵

Affiliation:

1. Teaching and Learning Center, University of Washington Tacoma, Tacoma, WA 98402, USA

2. Department of Mathematics, Pomona College, Claremont, CA 91711, USA

3. Department of Mathematics, Pacific Lutheran University, Tacoma, WA 98447, USA

4. Department of Mathematics and Statistics, University of San Francisco, San Francisco, CA 94117, USA

5. Department of Mathematics and Computer Science, University of Puget Sound, Tacoma, WA 98416, USA

Abstract

We characterize all groups which can occur as the topological symmetry group or the orientation preserving topological symmetry group of some embedding of the Petersen graph in [Formula: see text].

Funder

NSF

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216521410042

Reference20 articles.

1. Topological Symmetry Groups of Small Complete Graphs

2. Topological symmetry groups and mapping class groups for spatial graphs

3. RIGIDITY OF GRAPH SYMMETRIES IN THE 3-SPHERE

4. Topological symmetry groups of Möbius ladders

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1. Topological Symmetry Groups of the Petersen Graphs;Symmetry;2023-06-15