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BESPAMYATHNIKH, S. N., AND SEGAL, M. Rectilinear static and dynamic discrete 2-center problems. In Proc. 6th Workshop Algorithms Data Struct. (1999), vol. 1663 of Lecture Notes Comput. Sci., SpringerVerlag, pp. 276--287.

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Rectilinear 2-Center Problems - Bespamyatnikh, Kirkpatrick (1999)   (5 citations)  Self-citation (Bespamyatnikh)   (Correct)

....in higher dimensions) of minimum size, where the square centers are constrained to F . The discrete 2 center problem in the Euclidean plane appears to be more difficult than the standard 2 center problem. Agarwal et al. 2] presents O(n 4=3 log 5 n) algorithm for the case S = F . Very recently [17, 3] the discrete 2 center problem had been studied under rectilinear metric. Katz et al. 17] gave O(n log 2 n) algorithm for the case S = F . Bespamyatnikh and Segal [3] improved the running time to O( n m) log(n m) using an O(n m) decision algorithm. In this paper we focus on the 2 center ....

....the standard 2 center problem. Agarwal et al. 2] presents O(n 4=3 log 5 n) algorithm for the case S = F . Very recently [17, 3] the discrete 2 center problem had been studied under rectilinear metric. Katz et al. 17] gave O(n log 2 n) algorithm for the case S = F . Bespamyatnikh and Segal [3] improved the running time to O( n m) log(n m) using an O(n m) decision algorithm. In this paper we focus on the 2 center problems, both continuous and discrete, in higher dimensions under the rectilinear metric L1 . We give a simple linear time algorithm for the rectilinear 2 center ....

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S. Bespamyatnikh and M. Segal. Rectilinear static and dynamic discrete 2-center problems. In to appear in Proc. 9th Workshop Algorithms Data Struct., 1999.


A Simple Linear Algorithm for Computing Rectilinear - Hoffmann   (Correct)

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BESPAMYATHNIKH, S. N., AND SEGAL, M. Rectilinear static and dynamic discrete 2-center problems. In Proc. 6th Workshop Algorithms Data Struct. (1999), vol. 1663 of Lecture Notes Comput. Sci., SpringerVerlag, pp. 276--287.

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