Article ID Journal Published Year Pages File Type
427919 Information Processing Letters 2011 4 Pages PDF
Abstract

We consider the vertex cover  PnPn (VCPnVCPn) problem, that is, the problem of finding a minimum weight set F⊂VF⊂V such that the graph G[V−F]G[V−F] has no PnPn, where PnPn is a path with n   vertices. The problem also has its application background. In this paper, we restrict our attention to the VCP3VCP3 problem and give a 2-approximation algorithm using the technique of layering.

► In the article we translate the camera layout problem into the vertex cover PnPn problem in graph theory. ► We first proved two important inequalities on the problem to show the main result. ► We designed an approximation algorithm to solve the vertex cover P3P3 problem. ► We proved the performance factor of the algorithm is no more than 2.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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