Minimum convex partitions of multidimensional polyhedrons
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SM ISO690:2012
BĂŢ, Ion. Minimum convex partitions of multidimensional polyhedrons. In: Computer Science Journal of Moldova, 2007, nr. 3(45), pp. 288-302. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(45) / 2007 / ISSN 1561-4042 /ISSNe 2587-4330

Minimum convex partitions of multidimensional polyhedrons
CZU: [514.172.4+519.6]:004

Pag. 288-302

Băţ Ion
 
Moldova State University
 
 
Disponibil în IBN: 4 decembrie 2013


Rezumat

In a normed space Rn over the field of real numbers R, which is an α-space [26,29], one derives the formula expressing the minimum number of d-convex pieces into which a geometric n- dimensional polyhedron can be partitioned. The mentioned problem has been kept unsolvable for more than 30 years. The special cases for R2,R3 lead to nontrivial applications [19,20,23,28,30].

Cuvinte-cheie
geometric n-dimensional polyhedron, d-convexity, point of local non-d-convexity, polyhedral complex, oriented polytope