A classification of centrally-symmetric and cyclic 12-vertex triangulations of $S^2 \times S^2$

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dc.creatorLassmann, G.
dc.creatorSparla, E.
dc.date1998-12-03
dc.date.accessioned2026-07-07T05:27:06Z
dc.date.available2026-07-07T05:27:06Z
dc.descriptionIn this paper our main result states that there exist exactly three combinatorially distinct centrally-symmetric 12-vertex-triangulations of the product of two 2-spheres with a cyclic symmetry. We also compute the automorphism groups of the triangulations. These instances suggest that there is a triangulation of $S^2 \times S^2$ with 11 vertices -- the minimum number of vertices required.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/9812024
dc.identifierhttp://arxiv.org/abs/math/9812024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77800
dc.subjectCombinatorics
dc.subject57Q15; 52B70
dc.titleA classification of centrally-symmetric and cyclic 12-vertex triangulations of $S^2 \times S^2$
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