Geodesic
Generation of local symmetry-preserving operations on polyhedra
Ars Mathematica Contemporanea, Tome 18 (2020) no. 2, pp. 223-239.

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We introduce a new practical and more general definition of local symmetry-preserving operations on polyhedra. These can be applied to arbitrary embedded graphs and result in embedded graphs with the same or higher symmetry. With some additional properties we can restrict the connectivity, e.g. when we only want to consider polyhedra. Using some base structures and a list of 10 extensions, we can generate all possible local symmetry-preserving operations isomorph-free.
DOI : 10.26493/1855-3974.1931.9cf
Keywords: Graph theory, polyhedra, symmetry, chamber systems 
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Pieter Goetschalckx; Kris Coolsaet; Nico Van Cleemput. Generation of local symmetry-preserving operations on polyhedra. Ars Mathematica Contemporanea, Tome 18 (2020) no. 2, pp. 223-239. doi : 10.26493/1855-3974.1931.9cf. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1931.9cf/

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