Geodesic
Generating polyhedral quadrangulations of the projective plane
Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 153-183.

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We determine the 26 families of irreducible polyhedral quadrangulations of the projective plane under three reductions called a face-contraction, a 4-cycle removal and a 23-path shrink, which were first given by Batagelj in 1989. Every polyhedral quadrangulation of the projective plane can be obtained from one of them by a sequence of the inverse operations of the reductions.
DOI : 10.26493/1855-3974.1195.c71
Keywords: Quadrangulation, projective plane, generating theorem 
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Yusuke Suzuki. Generating polyhedral quadrangulations of the projective plane. Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 153-183. doi : 10.26493/1855-3974.1195.c71. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1195.c71/

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