Symmetries of embedded complete bipartite graphs

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

Fundamenta Mathematicae (2014)

  • Volume: 226, Issue: 1, page 1-16
  • ISSN: 0016-2736

Abstract

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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 S³.

How to cite

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Erica Flapan, et al. "Symmetries of embedded complete bipartite graphs." Fundamenta Mathematicae 226.1 (2014): 1-16. <http://eudml.org/doc/282595>.

@article{EricaFlapan2014,
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 S³.},
author = {Erica Flapan, Nicole Lehle, Blake Mellor, Matt Pittluck, Xan Vongsathorn},
journal = {Fundamenta Mathematicae},
keywords = {topological symmetry groups; spatial graphs; bipartite graphs},
language = {eng},
number = {1},
pages = {1-16},
title = {Symmetries of embedded complete bipartite graphs},
url = {http://eudml.org/doc/282595},
volume = {226},
year = {2014},
}

TY - JOUR
AU - Erica Flapan
AU - Nicole Lehle
AU - Blake Mellor
AU - Matt Pittluck
AU - Xan Vongsathorn
TI - Symmetries of embedded complete bipartite graphs
JO - Fundamenta Mathematicae
PY - 2014
VL - 226
IS - 1
SP - 1
EP - 16
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 S³.
LA - eng
KW - topological symmetry groups; spatial graphs; bipartite graphs
UR - http://eudml.org/doc/282595
ER -

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