We construct minimal (with respect to vertices) pseudo-dissections for any connected piecewise-linear n-manifold with boundary. As a consequence, we obtain ball coverings for bordered manifolds with nice intersection properties. Then we give a graph-theoretical description of these results.
Minimal dissections of bordered manifolds / Cavicchioli, Alberto; Grasselli, Luigi. - In: DEMONSTRATIO MATHEMATICA. - ISSN 0420-1213. - STAMPA. - 21 (2):(1988), pp. 311-322.
Minimal dissections of bordered manifolds
CAVICCHIOLI, Alberto;GRASSELLI, Luigi
1988
Abstract
We construct minimal (with respect to vertices) pseudo-dissections for any connected piecewise-linear n-manifold with boundary. As a consequence, we obtain ball coverings for bordered manifolds with nice intersection properties. Then we give a graph-theoretical description of these results.
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