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Euclidean spanners: Short, thin, and lanky
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S. Arya, G. Das, D. M. Mount, J. S. Salowe, and M. Smid. Euclidean spanners: short, thin, and lanky. In Proc. 27th Annu. ACM Sympos. Theory Comput., pages 489-498, 1995.
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P. B. Callahan. Dealing with higher dimensions: the well-separated pair decomposition and its applications. Ph.D. thesis, Dept. Computer Science, Johns Hopkins University, Baltimore, Maryland, 1995.
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A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields
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P. B. Callahan and S. R. Kosaraju. A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields. J. Assoc. Comput. Mach., 42:67-90, 1995.
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New sparseness results on graph spanners
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B. Chandra, G. Das, G. Narasimhan, and J. Soares. New sparseness results on graph spanners. Internat. J. Comput. Geom. Appl., 5:125-144, 1995.
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Lower bounds for computing geometric spanners and approximate shortest paths
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D. Z. Chen, G. Das, and M. Smid. Lower bounds for computing geometric spanners and approximate shortest paths. In Proc. 8th Canad. Conf. Comput. Geom., pages 155-160, 1996.
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A fast algorithm for constructing sparse Euclidean spanners
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G. Das and G. Narasimhan. A fast algorithm for constructing sparse Euclidean spanners. Internat. J. Comput. Geom. Appl., 7:297-315, 1997.
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Volume 1851 of Lecture Notes in Computer Science. Springer-Verlag, Berlin
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J. Gudmundsson, C. Levcopoulos, and G. Narasimhan. Improved greedy algorithms for constructing sparse geometric spanners. In Proc. 7th Scandinavian Workshop Algorithm Theory, pages 314-327. Volume 1851 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 2000.
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Classes of graphs which approximate the complete Euclidean graph
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J. M. Keil and C. A. Gutwin. Classes of graphs which approximate the complete Euclidean graph. Discrete Comput. Geom., 7:13-28, 1992.
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New results on fault tolerant geometric spanners
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Volume 1663 of Lecture Notes in Computer Science. Springer-Verlag, Berlin
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T. Lukovszki. New results on fault tolerant geometric spanners. In Proc. 6th Workshop Algorithms Data Structures, pages 193-204. Volume 1663 of Lecture Notes in Computer Science. Springer-Verlag, Berlin, 1999.
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A sparse graph almost as good as the complete graph on points in K dimensions
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