Geodesic
The location problem on graphs and the Helly problem
Diskretnaya Matematika, Tome 4 (1992) no. 4, pp. 67-73.

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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. 
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     title = {The location problem on graphs and the {Helly} problem},
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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/