Abstract
A vertex subset S of a given graph G=(V,E) is called a connectedk-path vertex cover (CVCPk) if every k-path of G contains at least one vertex from S, and the subgraph of G induced by S is connected. This concept has its background in the field of security and supervisory and the computation of a minimum CVCPk is NP-hard. In this paper, we give a (2α+1∕2)-approximation algorithm for MinCVCP3, where α is the performance ratio of an algorithm for MinVCP3.
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