%0 Journal Article %T A note on the p - center problem %A Jafari Rad Nader %J Yugoslav Journal of Operations Research %D 2011 %I University of Belgrade %R 10.2298/yjor1102199j %X The p - center problem is to locate p facilities in a network so as to minimize the longest distance between a demand point and its nearest facility. In this paper, we give a construction on a graph G which produces an infinite ascending chain G=G0¡ÜG1¡ÜG2¡Ü... of graphs containing G such that given any optimal solution X for the p - center problem on G, X is an optimal solution for the p - center problem on i G for any i ¡Ý 1. %K location theory %K p - center problem %U http://www.doiserbia.nb.rs/img/doi/0354-0243/2011/0354-02431102199J.pdf