Asymmetric two-colourings of graphs in S 3

Asymmetric two-colourings of graphs in S 3

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 K 3,3 or K 5 , then G is intrinsically asymmetric. No such asymmetric two-colouring is possible for K 3,3 or K 5 .

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2002-03, Vol.132 (2), p.267-280
Hauptverfasser: FLAPAN, ERICA, LI, DAVID LINNAN
Format: Artikel
Sprache:eng
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Zusammenfassung: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 K 3,3 or K 5 , then G is intrinsically asymmetric. No such asymmetric two-colouring is possible for K 3,3 or K 5 .
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004101005643