Maps admitting trialities but not dualities

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Maps admitting trialities but not dualities

We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson’s map operations of order 3 but not under the operations of order 2, such as duality and Petrie duality. MSC classification: Primary 05C25, secondary 05C10, 20B25.

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2010

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2010.02.001