Geodesic
Triangulations of some cases of polyhedra with a small number of tetrahedra
Kragujevac Journal of Mathematics, Tome 31 (2008) no. 1.

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Considering the hypothesis that there exists a polyhedron with a minimal triangulation by $2n-10$ tetrahedra, earlier results show that such polyhedra can have only vertices of order 5, 6 or separated vertices of order 4. Other polyhedra have minimal triangulation with a smaller number of tetrahedra. This paper presents the examples of polyhedra with the mentioned property and with the triangulation by $2n-11$ tetrahedra. 
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Milica Stojanović. Triangulations of some cases of polyhedra with a small number of tetrahedra. Kragujevac Journal of Mathematics, Tome 31 (2008) no. 1. http://geodesic.mathdoc.fr/item/KJM_2008_31_1_a7/