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Asymmetric two-colourings of graphs in S3

Published online by Cambridge University Press:  14 March 2002

ERICA FLAPAN  and
DAVID LINNAN LI
ERICA FLAPAN
Affiliation:
Department of Mathematics, Pomona College, Claremont, CA 91711, U.S.A. e-mail: [email protected]
DAVID LINNAN LI
Affiliation:
Department of Mathematics, Stanford University, Stanford, CA 94305, U.S.A. e-mail: [email protected]
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Abstract

We prove that for any non-planar graph H, we can choose a two-colouring G of H such that G is intrinsically chiral, and if H is 3-connected and is not K3,3 or K5, then G is intrinsically asymmetric. No such asymmetric two-colouring is possible for K3,3 or K5.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 132 , Issue 2 , March 2002 , pp. 267 - 280
Copyright
2002 Cambridge Philosophical Society

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