Complete graphs whose topological symmetry groups are polyhedral

Eric Flapan; Blake Mellor; Ramin Naimi

Complete graphs whose topological symmetry groups are polyhedral

Eric Flapan, Blake Mellor, Ramin Naimi

Mathematics, Statistics and Data Science

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

Abstract

We determine for which m the complete graph K _m has an embedding in S ³ whose topological symmetry group is isomorphic to one of the polyhedral groups A ₄ , A ₅ or S ₄ .

Original language	English
Pages (from-to)	1405-1433
Journal	Algebraic Geometric Topology
Volume	11
State	Published - 2011

Keywords

topological symmetry group
spatial graph

Disciplines

Geometry and Topology

Cite this

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title = "Complete graphs whose topological symmetry groups are polyhedral",

abstract = " We determine for which m the complete graph K m has an embedding in S 3 whose topological symmetry group is isomorphic to one of the polyhedral groups A 4 , A 5 or S 4 .",

keywords = "topological symmetry group, spatial graph",

author = "Eric Flapan and Blake Mellor and Ramin Naimi",

note = "Flapan, E., B. Mellor and R. Naimi, 2011: Complete graphs whose topological symmetry groups are polyhedral. Algebraic and Geometric Topology, 11, 1405-1433.",

year = "2011",

language = "English",

volume = "11",

pages = "1405--1433",

journal = "Algebraic Geometric Topology",

issn = "1472-2739",

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T1 - Complete graphs whose topological symmetry groups are polyhedral

AU - Flapan, Eric

AU - Mellor, Blake

AU - Naimi, Ramin

N1 - Flapan, E., B. Mellor and R. Naimi, 2011: Complete graphs whose topological symmetry groups are polyhedral. Algebraic and Geometric Topology, 11, 1405-1433.

PY - 2011

Y1 - 2011

N2 - We determine for which m the complete graph K m has an embedding in S 3 whose topological symmetry group is isomorphic to one of the polyhedral groups A 4 , A 5 or S 4 .

AB - We determine for which m the complete graph K m has an embedding in S 3 whose topological symmetry group is isomorphic to one of the polyhedral groups A 4 , A 5 or S 4 .

KW - topological symmetry group

KW - spatial graph

UR - https://digitalcommons.lmu.edu/math_fac/39

M3 - Article

SN - 1472-2739

VL - 11

SP - 1405

EP - 1433

JO - Algebraic Geometric Topology

JF - Algebraic Geometric Topology

ER -

Complete graphs whose topological symmetry groups are polyhedral

Abstract

Keywords

Disciplines

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Cite this