The obnoxious center problem on weighted cactus graphs Original Research Article

The obnoxious center problem in a graph G asks for a location on an edge of the graph such that the minimum weighted distance from this point to a vertex of the graph is as large as possible. An algorithm is given which finds the obnoxious center on a weighted cactus graph in O(cn) time, where n is the number of vertices and c is the number of different vertex weights (called marks).