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arxiv: 1509.00581 · v1 · pith:J6LZKRMYnew · submitted 2015-09-02 · 🧮 math.CO

Characterisation of symmetries of unlabelled triangulations and its applications

classification 🧮 math.CO
keywords unlabelledsymmetriestriangulationscharacterisationapplicationapplicationscompleteconstructive
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We give a full characterisation of the symmetries of unlabelled triangulations and derive a constructive decomposition of unlabelled triangulations depending on their symmetries. As an application of these results we can deduce a complete enumerative description of unlabelled cubic planar graphs.

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