Generalizing the Covering Path Problem on a Grid

Published 28 Apr 2019 in cs.DS and math.OC | (1904.12258v1)

Abstract: We study the covering path problem on a grid of R^{2}. We generalize earlier results on a rectangular grid and prove that the covering path cost can be bounded by the area and perimeter of the grid. We provide (2+\epsilon) and (1+\epsilon)-approximations for the problem on a general grid and on a convex grid, respectively.

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