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math.GT2012★ 2 cited
An infinite family of tight triangulations of manifolds
Basudeb Datta, Nitin Singh
We give an explicit construction of vertex-transitive tight triangulations of -manifolds for . More explicitly, for each , we construct two -vertex…
math.GT2012★ 6 cited
Tight triangulations of some 4-manifolds
Basudeb Datta, Nitin Singh
Walkup's class consists of the -dimensional simplicial complexes all whose vertex links are stacked -spheres. According to a result of Walkup, the face vect…
math.GT2012
Non-existence of tight neighborly manifolds with
Nitin Singh
For , Walkup's class $\Kd$ consists of the -dimensional simplicial complexes whose vertex-links are stacked -spheres. Recently Lutz, Sulanke and Swartz have show…