Symmetries of embedded complete bipartite graphs

Erica Flapan; Nicole Lehle; Blake Mellor; Matt Pittluck; Xan Vongsathorn

Symmetries of embedded complete bipartite graphs

Erica Flapan
, Nicole Lehle
, Blake Mellor
, Matt Pittluck
, Xan Vongsathorn

Mathematics, Statistics and Data Science

Pomona College
Loyola Marymount University

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

Abstract

We characterize which automorphisms of an arbitrary complete bipartite graph K _n,m can be induced by a homeomorphism of some embedding of the graph in S ³ .

Original language	English
Pages (from-to)	1-16
Journal	Fundamenta Mathematicae
Volume	226
State	Published - 2014

Keywords

topological symmetry groups
spatial graphs
bipartite graphs

Disciplines

Discrete Mathematics and Combinatorics
Geometry and Topology

Cite this

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title = "Symmetries of embedded complete bipartite graphs",

abstract = " We characterize which automorphisms of an arbitrary complete bipartite graph K n,m can be induced by a homeomorphism of some embedding of the graph in S 3 .",

keywords = "topological symmetry groups, spatial graphs, bipartite graphs",

author = "Erica Flapan and Nicole Lehle and Blake Mellor and Matt Pittluck and Xan Vongsathorn",

note = "E. Flapan, N. Lehle, M. Pittluck and X. Vongsathorn, 2014: Symmetries of embedded complete bipartite graphs. Fundamenta Mathematicae, 226, 1-16, arXiv:1205.4052.",

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journal = "Fundamenta Mathematicae",

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TY - JOUR

T1 - Symmetries of embedded complete bipartite graphs

AU - Flapan, Erica

AU - Lehle, Nicole

AU - Mellor, Blake

AU - Pittluck, Matt

AU - Vongsathorn, Xan

N1 - E. Flapan, N. Lehle, M. Pittluck and X. Vongsathorn, 2014: Symmetries of embedded complete bipartite graphs. Fundamenta Mathematicae, 226, 1-16, arXiv:1205.4052.

PY - 2014

Y1 - 2014

N2 - We characterize which automorphisms of an arbitrary complete bipartite graph K n,m can be induced by a homeomorphism of some embedding of the graph in S 3 .

AB - We characterize which automorphisms of an arbitrary complete bipartite graph K n,m can be induced by a homeomorphism of some embedding of the graph in S 3 .

KW - topological symmetry groups

KW - spatial graphs

KW - bipartite graphs

UR - https://digitalcommons.lmu.edu/math_fac/35

M3 - Article

VL - 226

SP - 1

EP - 16

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

ER -

Symmetries of embedded complete bipartite graphs

Abstract

Keywords

Disciplines

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