Optimal Insertion of a Segment Highway in a City Metric
- Cite this paper as:
- Korman M., Tokuyama T. (2008) Optimal Insertion of a Segment Highway in a City Metric. In: Hu X., Wang J. (eds) Computing and Combinatorics. COCOON 2008. Lecture Notes in Computer Science, vol 5092. Springer, Berlin, Heidelberg
Given two sets of points in the plane, we are interested in locating a highway h such that an objective function on the city distance between points of the two sets is minimized (where the city distance is measured with speed v > 1 on a highway and 1 in the underlying metric elsewhere). Extending the results of Ahn et al. (), we consider the option that there are already some built highways. We give a unified approach to this problem to design polynomial-time algorithms for several combinations of objective functions and types of the inserted highway (turnpike or freeway).
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