Diskretnaya Matematika, Tome 4 (1992) no. 4, pp. 67-73
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F. F. Dragan; K. F. Prisakar'; V. D. Chepoi. The location problem on graphs and the Helly problem. Diskretnaya Matematika, Tome 4 (1992) no. 4, pp. 67-73. http://geodesic.mathdoc.fr/item/DM_1992_4_4_a6/
@article{DM_1992_4_4_a6,
author = {F. F. Dragan and K. F. Prisakar' and V. D. Chepoi},
title = {The location problem on graphs and the {Helly} problem},
journal = {Diskretnaya Matematika},
pages = {67--73},
year = {1992},
volume = {4},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1992_4_4_a6/}
}
TY - JOUR
AU - F. F. Dragan
AU - K. F. Prisakar'
AU - V. D. Chepoi
TI - The location problem on graphs and the Helly problem
JO - Diskretnaya Matematika
PY - 1992
SP - 67
EP - 73
VL - 4
IS - 4
UR - http://geodesic.mathdoc.fr/item/DM_1992_4_4_a6/
LA - ru
ID - DM_1992_4_4_a6
ER -
%0 Journal Article
%A F. F. Dragan
%A K. F. Prisakar'
%A V. D. Chepoi
%T The location problem on graphs and the Helly problem
%J Diskretnaya Matematika
%D 1992
%P 67-73
%V 4
%N 4
%U http://geodesic.mathdoc.fr/item/DM_1992_4_4_a6/
%G ru
%F DM_1992_4_4_a6
The authors constructed polynomial algorithms for the solution of the $p$-center problem and of the $r$-domination problem for graphs whose family of balls has the Helly property and whose intersection graph is triangulated. A characterization of this class of graphs is given as well.