Geodesic
On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 210-216

Voir la notice de l'article provenant de la source Math-Net.Ru

It is known that the problem on the minimal covering of a finite number of points in a plane by a set of straight lines (MIN-PC) and the problem on the minimal affine separating committee formulated in a space of fixed dimension (MASC-GP$(n)$) are NP-hard in the strong sense. We show that these problems are MAX-SNP-hard.
Keywords: computational complexity, strong NP-hardness, covering of points, affine committee. 
@article{TIMM_2010_16_3_a22,
     author = {M. I. Poberii},
     title = {On the belonging of the problems {MIN-PC} and {MASC-GP}$(n)$ to the class of {MAX-SNP-hard} problems},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {210--216},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a22/}
}
TY  - JOUR
AU  - M. I. Poberii
TI  - On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2010
SP  - 210
EP  - 216
VL  - 16
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a22/
LA  - ru
ID  - TIMM_2010_16_3_a22
ER  - 
%0 Journal Article
%A M. I. Poberii
%T On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems
%J Trudy Instituta matematiki i mehaniki
%D 2010
%P 210-216
%V 16
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a22/
%G ru
%F TIMM_2010_16_3_a22
M. I. Poberii. On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 210-216. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a22/