@article {IOPORT.05657359, author = {B\u a\c t, Ion}, title = {Minimum convex partitions of multidimensional polyhedrons.}, year = {2007}, journal = {Computer Science Journal of Moldova}, volume = {15}, number = {3}, issn = {1561-4042}, pages = {288-302}, publisher = {Academy of Science of Moldova, Institute of Mathematics and Computer Science, Kishinev}, abstract = {Summary: In a normed space ${\cal R}^n$ over the field of real numbers $\Bbb R$, which is an $\alpha$-space, we derive a formula expressing the minimum number of $d$-convex pieces into which a geometric $n$-dimensional polyhedron can be partitioned. The mentioned problem remained unsolved for more than 30 years. The special cases for ${\cal R}^2$, ${\cal R}^3$ lead to nontrivial applications.}, identifier = {05657359}, }