You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

Karl Friedrich Gauss

You can get Math Reviews of my papers and DBLP

Publications of Sergey Bereg [ papers by category]

    2008

  1. Clustered SplitsNetworks. Proc. 2nd Ann. Internat. Conf. on Combinatorial Optimization and Applications (COCOOA'08), 2008. to appear. Written with L. Bao.
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  2. Efficient Algorithms for the d-Dimensional Rigidity Matroid of Sparse Graphs. Comput. Geom. Theory Appl., 40(1):37-44, 2008.
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  3. On covering problems of Rado. Proc. 12th Scand. Workshop Algorithm Theory (SWAT'08), LNCS 5124, pp. 294-305, 2008. Written with A. Dumitrescu and M. Jiang.
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  4. Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance. Proc. 14th Ann. Internat. Conf. Computing and Combinatorics (COCOON'08), LNCS 5092, pp. 352-362, 2008. Written with K. Buchin, M. Buchin, M. Gavrilova, and B. Zhu.
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  5. A PTAS for Cutting out Polygons with Lines. Algorithmica, 2008. to appear. Written with O. Daescu and M. Jiang.
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  6. Maximum Area Independent Sets in Disk Intersection Graphs. Int. J. Comput. Geom. Appl., 2008. to appear. Written with A. Dumitrescu and M. Jiang.
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  7. Simplifying 3D Polygonal Chains Under the Discrete Fréchet Distance. Proc. of the 10th Latin American Theoretical INformatics (LATIN'08), LNCS 4957, pp. 630-641, 2008. Written with M. Jiang, W. Wang, B. Yang, and B. Zhu.
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  8. Matching Points with Rectangles and Squares. Comput. Geom. Theory Appl., 2008. to appear. Written with N. Mutsanas and A. Wolff.
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  9. On Some City Guarding Problems. Proc. 14th Ann. Internat. Conf. Computing and Combinatorics (COCOON'08), LNCS 5092, pp. 600-610, 2008. Written with J. Zhou, L. Bao, O. Daescu, and S. Ntafos.
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    10. 2007

  10. Compatible Geometric Matchings. the 17th Fall Workshop on Computational and Combinatorial Geometry (FWCG 2007), 2007. Written with O. Aichholzer, A. Dumitrescu, A. Garcma, C. Huemer, F. Hurtado, M. Kano, A. Marquez, S. Smorodinsky, D. Souvaine, J. Urrutia, and D. Wood.
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  11. A Scalable Clustering Method Based on Density. WSEAS Transactions on Computers, 6:1036-1043, 2007. Written with K. Bean, L. Khan, and B. Thuraisingham.
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  12. Topological Indices in Combinatorial Chemistry. In: I. Mandoiu and A. Zelikovsky, editors, Bioinformatics Algorithms: Techniques and Applications, pp. 419-438. Wiley-Interscience, 2007.
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  13. Transforming Graphs with the Same Graphic Sequence. The Kyoto International Conference on Computational Geometry and Graph Theory, 2007. Written with H. Ito.
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  14. Wiener Indices of Balanced Binary Trees. Discrete Applied Mathematics, 155(4):457-467, 2007. Written with H. Wang.
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  15. Phylogenetic Networks Based on the Molecular Clock Hypothesis. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 4:661-667, 2007. Written with Y. Zhang.
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  16. Traversing a Set of Points with a Minimum Number of Turns. Proc. 23th Annu. ACM Sympos. Comput. Geom., pp. 46-55, 2007. Written with P. Bose, A. Dumitrescu, F. Hurtado, and P. Valtr.
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  17. On Finding Widest Empty Curved Corridors. Comput. Geom. Theory Appl., 38(3):154-169, 2007. Written with J. M. Díaz-Báñez, C. Seara, and I. Ventura.
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  18. Sliding Disks in the Plane. Int. J. Comput. Geom. Appl., 2007. to appear. Written with A. Dumitrescu and J. Pach.
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  19. RNA Multiple Structural Alignment with Longest Common Subsequences. Journal of Combinatorial Optimization, 13(2):179-188, 2007. Written with M. Kubica, T. Walen, and B. Zhu.
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  20. Straightening Drawings of Clustered Hierarchical Graphs. Proc. 33st Annu. Conf. on Current Trends in Theory and Practice of Informatics (SOFSEM'07), LNCS 4362, pp. 176-187, 2007. Written with M. V olker, A. Wolff, and Y. Zhang.
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    21. 2006

  21. Moving Coins. Special issue of "Computational Geometry: Theory and Applications", 34(1):35-48, 2006. Written with M. Abellanas, F. Hurtado, A. G. Olaverri, D. Rappaport, and J. Tejel.
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  22. Recent Developments and Open Problems in Voronoi Diagrams. Proc. 3rd Internat. Sympos. on Voronoi Diagrams in Science and Engineering (ISVD'06), pp. 4-5, 2006.
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  23. The Lifting Model for Reconfiguration. Discrete Comput. Geom., 35(4):653-669, 2006. Written with A. Dumitrescu.
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  24. Competitive Algorithms for Maintaining Mobile Centers. Mobile Networks and Applications, 11(2):177-186, 2006. Written with B. Bhattacharya, D. Kirkpatrick, and M. Segal.
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  25. Equitable Subdivisions of Polygonal Regions. Special issue of "Computational Geometry: Theory and Applications", 34(1):20-27, 2006. Written with P. Bose and D. Kirkpatrick.
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  26. A PTAS for cutting out polygons with lines. Proc. 12th Ann. Internat. Conf. Computing and Combinatorics (COCOON'06), LNCS 4112, pp. 176-185, 2006. Written with O. Daescu and M. Jiang.
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  27. Robust Point-Location in Generalized Voronoi Diagrams. Proc. 3rd Internat. Sympos. on Voronoi Diagrams in Science and Engineering (ISVD'06), pp. 54-59, 2006. Written with M. L. Gavrilova and Y. Zhang.
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  28. Matching Points with Rectangles and Squares. Proc. 32st Annu. Conf. on Current Trends in Theory and Practice of Informatics (SOFSEM'06), LNCS 3831, pp. 177-186, 2006. Written with N. Mutsanas and A. Wolff.
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    29. 2005

  29. Guarding a Terrain by Two Watchtowers. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 346-355, 2005. Written with P. Agarwal, H. Kaplan, O. Daescu, S. Ntafos, and B. Zhu.
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  30. Geometric Facility Location Problems with Uncertainty. Discrete Optimization, 2(1):3-34, 2005. Written with I. Averbakh.
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  31. Algorithms for the d-Dimensional Rigidity Matroid of Sparse Graphs. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'04), LNCS 3742, pp. 29-36, 2005.
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  32. An Approximate Morphing between Polylines. Int. J. Comput. Geom. Appl., 15(2):193-208, 2005.
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  33. Certifying and Constructing Minimally Rigid Graphs in the Plane. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 73-80, 2005.
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  34. Enumerating Pseudo-Triangulations in the Plane. Comput. Geom. Theory Appl., 30(3):207-222, 2005.
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  35. Equipartitions of Measures by 2-fans. Discrete Comput. Geom., 34(1):87-96, 2005.
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  36. Constructing Phylogenetic Networks from Trees. Proc. 5th IEEE Symposium on Bioinformatics and Bioengineering, pp. 299-306, 2005. Written with K. Bean.
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  37. The Lifting Model for Reconfiguration. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 55-62, 2005. Written with A. Dumitrescu.
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  38. Curvature-bounded Traversals of Narrow Corridors. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 278-287, 2005. Written with D. Kirkpatrick.
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  39. Wiener Indices of Balanced Binary Trees. International Workshop on Bioinformatics Research and Applications, LNCS 3515, pp. 851-859, 2005. Written with H. Wang.
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  40. Phylogenetic Networks Based on the Molecular Clock Hypothesis. Proc. 5th IEEE Symposium on Bioinformatics and Bioengineering, pp. 320-323, 2005. Written with Y. Zhang.
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  41. RNA Multiple Structural Alignment with Longest Common Subsequences. Proc. 11th Ann. Internat. Conf. Computing and Combinatorics (COCOON'05), LNCS 2697, pp. 32-41, 2005. Written with B. Zhu.
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  42. Sliding Disks in the Plane. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'04), LNCS 3742, pp. 37-47, 2005. Written with A. Dumitrescu and J. Pach.
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    43. 2004

  43. The Fitting Line Problem in the Laguerre Geometry and its Applications. Proc. 16th Canad. Conf. Comput. Geom., pp. 166-169, 2004. Written with F. Anton.
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  44. On a Conjecture of Wiener Indices in Computational Chemistry. Algorithmica, 40(2):99-118, 2004. Written with A. Ban and N. Mustafa.
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  45. Analysis of Layered Hierarchies for Necklaces. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'04), pp. 87-88, 2004. Written with K. Bean.
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  46. 3D Realization of Two Triangulations of a Convex Polygon. Proc. 20th European Workshop Comput. Geom., pp. 49-52, 2004.
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  47. Cylindrical Hierarchy for Deforming Necklaces. Int. J. Comput. Geom. Appl., 14(1-2):3-18, 2004.
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  48. Equipartitions of Measures by 2-fans. Proc. 15th Annual International Symposium on Algorithms and Computation (ISAAC'04), LNCS 3341, pp. 149-158, 2004.
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  49. Reconstruction of gt-Networks from Gene Trees. Proc. of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences (METMBS '04), pp. 336-340, 2004.
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  50. Transforming Pseudo-Triangulations. Information Processing Letters, 90(3):141-145, 2004.
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  51. Dynamic Algorithms for Approximating Interdistances. Nordic Journal of Computing, 11(4):344-355, 2004. Written with M. Segal.
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  52. Contour Interpolation with Bounded Dihedral Angles. Proc. of the 9th ACM Symposium on Solid Modeling and Applications, pp. 303-308, 2004. Written with M. Jiang and B. Zhu.
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  53. Equitable Relatively-Convex Partitions of Simple Polygonal Regions. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'04), pp. 24-25, 2004. Written with P. Bose and D. Kirkpatrick.
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  54. Directed Graphs and Minimum Distances of Error-Correcting Codes in Matrix Rings. New Zealand Journal of Mathematics, 33:113-119, 2004. Written with A. Kelarev and A. Salagean.
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  55. Encoding Homotopy of Paths in the Plane. Proc. of the 6th Latin American Theoretical INformatics (LATIN'04), LNCS 2976, pp. 329-338, 2004.
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  56. Selecting Distances in Arrangements of Hyperplanes Spanned by Points. Journal of Discrete Algorithms, 2(3):333-345, 2004. Written with M. Segal.
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  57. New Bounds on Map Labeling with Circular Labels. Proc. 15th Annual International Symposium on Algorithms and Computation (ISAAC'04), LNCS 3341, pp. 606-617, 2004. Written with M. Jiang, B. Zhu, and Z. Qin.
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  58. Computing a (1+ε)-Approximate Geometric Minimum-Diameter Spanning Tree. Algorithmica, 38(4):577-589, 2004. Written with M. J. Spriggs, J. M. Keil, M. Segal, and J. Snoeyink.
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    59. 2003

  59. On a Conjecture of Wiener Indices in Computational Chemistry. Proc. 9th Ann. Internat. Conf. Computing and Combinatorics (COCOON'03), LNCS 2697, pp. 509-518, 2003. Written with A. Ban and N. Mustafa.
        bib · url · ps.gz

  60. An Algorithm for Analysis of Images in Spatial Information Systems. Journal of Automata, Languages and Combinatorics, 8(4):557-568, 2003. Written with A. Kelarev.
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  61. An Approximate Morphing between Polylines. Proc. of the International Conference on Computational Science and Its Applications (ICCSA'03), LNCS 2669, pp. 807-816, 2003.
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  62. Computing Closest Points for Segments. Int. J. Comput. Geom. Appl., 13(5):419-438, 2003.
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  63. Computing Homotopic Shortest Paths in the Plane. J. Algorithms, 49(2):284-303, 2003.
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  64. Computing Homotopic Shortest Paths in the Plane. Proc. 14th ACM-SIAM Sympos. Discrete Algorithms, pp. 609-617, 2003.
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  65. Cylindrical Hierarchy for Deforming Necklaces. Proc. 9th Ann. Internat. Conf. Computing and Combinatorics (COCOON'03), LNCS 2697, pp. 20-29, 2003.
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  66. On Partitioning a Cake. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'02), LNCS 2866, pp. 60-71, 2003.
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  67. Transforming Pseudo-Triangulations. Proc. International Conference on Computational Science, LNCS 2657, pp. 533-539, 2003.
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  68. Algorithms for Shortest Paths and d-cycle Problems. Journal of Discrete Algorithms, 1(1):1-9, 2003. Written with A. Kelarev.
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  69. Constrained Equitable 3-Cuttings. Proc. of the Japan Conference on Discrete and Computational Geometry (JCDCG'02), LNCS 2866, pp. 72-83, 2003. Written with D. Kirkpatrick.
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  70. Dynamic Algorithms for Approximating Interdistances. Proc. 30th Internat. Colloquium on Automata, Languages and Programming, LNCS 2719, pp. 1169-1180, 2003. Written with M. Segal.
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  71. On Exact Solution for a Point-Location Problem in a System of d-dimensional Hyperbolic Surfaces. Proc. 15th Canad. Conf. Comput. Geom., pp. 136-139, 2003. Written with M. Gavrilova.
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  72. Approximating the Geometric Minimum-Spanning Tree. Proc. 15th Canad. Conf. Comput. Geom., pp. 39-42, 2003. Written with M. J. Spriggs, J. M. Keil, M. Segal, and J. Snoeyink.
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    73. 2002

  73. Computing Closest Points for Segments. Proc. 14th Canad. Conf. Comput. Geom., pp. 118-122, 2002.
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  74. An Efficient Algorithm for Enumeration of Triangulations. Comput. Geom. Theory Appl., 23(3):271-279, 2002.
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  75. Enumerating Pseudo-Triangulations in the Plane. Proc. 14th Canad. Conf. Comput. Geom., pp. 162-166, 2002.
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  76. An O(n log n) Algorithm for the Zoo-keeper's Problem. Comput. Geom. Theory Appl., 24(2):63-74, 2002.
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  77. An Optimal Morphing between Polylines. Int. J. Comput. Geom. Appl., 12(3):217-228, 2002.
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  78. Packing Two Disks in a Polygon. Comput. Geom. Theory Appl., 23(1):31-42, 2002.
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  79. An Algorithm for Analysis of Data in Geographic Information Systems. Proc. of the 13th Australasian Workshop on Combinatorial Algorithms, pp. 1-10, 2002. Written with A. Kelarev.
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  80. Fast Algorithms for Approximating Distances. Algorithmica, 33(2):263-269, 2002. Written with M. Segal.
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  81. Efficient Algorithms for Centers and Medians in Interval and Circular-arc Graphs. Networks, 39(3):144-152, 2002. Written with B. Bhattacharya, M. Keil, D. Kirkpatrick, and M. Segal.
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  82. Lower and Upper Bounds for Tracking Mobile Servers. In: N. Santoro R. Baeza-Yates, U. Montanari, editor, Foundations of information technology in the era of network and mobile computing, pp. 47-58. Kluwer Academic Publishers, 2002. Written with B. Bhattacharya, D. Kirkpatrick, and M. Segal.
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    83. 2001

  83. Geometric Facility Location Problems with Uncertainty. 1st Annual McMaster Optimization Conference: Theory and Applications, 2001. Written with I. Averbakh.
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  84. An Efficient Algorithm for the Three-Dimensional Diameter Problem. Discrete Comput. Geom., 25(2):235-255, 2001.
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  85. Enumerating Triangulations of Convex Polytopes. In: Robert Cori, Jacques Mazoyer, Michel Morvan, and Rémy Mosseri, editors, Discrete Models: Combinatorics, Computation, and Geometry, DM-CCG 2001DMTCS Proceedings , vol AA, pp. 111-122. Discrete Mathematics and Theoretical Computer Science, 2001.
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  86. An O(n log n) Algorithm for the Zoo-keeper's Problem. 4th CGC Workshop on Computational Geometry, 2001.
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  87. An Optimal Morphing between Polylines. Proc. of the International Conference on Imaging Science, Systems, and Technology (CISST'01), pp. 355-360, 2001.
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  88. Fast Maintenance of Rectilinear Centers. Proc of the International Workshop on Computational Geometry and Applications (in conjunction with the ICCS'01), LNCS 2073, pp. 633-639, 2001. Written with M. Segal.
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  89. Rectilinear Static and Dynamic Discrete 2-center Problems. Int. Journal of Math. Algorithms, 2:149-162, 2001. Written with M. Segal.
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  90. On the Planar Two-Watchtower Problem. Proc. 7th Ann. Internat. Conf. Computing and Combinatorics (COCOON'01), LNCS 2108, pp. 121-130, 2001. Written with Z. Chen, K. Wang, and B. Zhu.
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  91. Locating Watchtowers in Terrains. Proc. of the Fourth PIMS Graduate Industrial Math Modelling Camp, University of Victoria, pp. 1-10, 2001. Written with P. Anderson, A. Driga, L. Fairbrain, J. Li, T. Marquez-Lago, and L. Zhao.
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  92. Efficient Algorithms for Centers and Medians in Interval and Circular-arc Graphs. Proc. 8th Annu. European Sympos. Algorithms, LNCS 1879, pp. 100-111, 2001. Written with B. Bhattacharya, M. Keil, D. Kirkpatrick, and M. Segal.
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    93. 2000

  93. An Efficient Algorithm for Enumeration of Triangulations. 3th CGC Workshop on Computational Geometry, 2000.
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  94. Covering a Set of Points by Two Axis-parallel Boxes. Information Processing Letters, 75:95-100, 2000. Written with M. Segal.
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  95. Enumerating Longest Increasing Subsequences and Patience Sorting. Information Processing Letters, 76(1-2):7-11, 2000. Written with M. Segal.
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  96. Queries with Segments in Voronoi Diagrams. Comput. Geom. Theory Appl., 16(1):23-33, 2000. Written with J. Snoeyink.
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  97. Optimal Facility Location under Various Distance Functions. Int. J. Comput. Geom. Appl., 10(5):523-534, 2000. Written with K. Kedem, M. Segal, and A. Tamir.
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  98. Mobile Facility Location. Proc. of 4th Intern. Workshop on Discrete Algorithms and Methods for Mobile Computing and Communications, DIAL M, pp. 46-53, 2000. Written with B. Bhattacharya, D. Kirkpatrick, and M. Segal.
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  99. Visibility Queries among Horizontal Segments - A Dynamic Data Structure. Papers of the Japanese Conference on Discrete and Computational Geometry (JCDCG 2000), Tokai University, Japan, pp. 17-18. Tokai Proceedings, 2000. Written with M. J. Katz, F. Nielsen, and M. Segal.
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  100. Generalizing Ham Sandwich Cuts to Equitable Subdivisions. Discrete Comput. Geom., 24(4):605-622, 2000. Written with D. Kirkpatrick and J. Snoeyink.
        bib · abstract · url · java demo · ps.gz

    101. before 2000

  101. Efficient Algorithm for Finding Two Largest Empty Circles. Proc. 15th European Workshop Comput. Geom., pp. 37-38. INRIA Sophia-Antipolis, 1999.
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  102. Algorithms for Shortest Paths and d-cycle Problems. Proc. of the 10th Australasian Workshop on Combinatorial Algorithms, pp. 152-156, 1999. Written with A. Kelarev.
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  103. Rectilinear 2-center Problems. Proc. 11th Canad. Conf. Comput. Geom., pp. 68-71, 1999. Written with D. Kirkpatrick.
        bib · pdf · ps.gz

  104. Rectilinear Static and Dynamic Discrete 2-center Problems. Proc. 6th Workshop Algorithms Data Struct., LNCS 1663, pp. 276-287, 1999. Written with M. Segal.
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  105. Queries with Segments in Voronoi Diagrams. Proc. 10th ACM-SIAM Sympos. Discrete Algorithms, pp. 121-129, 1999. Written with J. Snoeyink.
        bib · ps.gz

  106. Optimal Facility Location under Various Distance Functions. Proc. 6th Workshop Algorithms Data Struct., LNCS 1663, pp. 318-329, 1999. Written with K. Kedem and M. Segal.
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  107. Generalizing Ham Sandwich Cuts to Equitable Subdivisions. Proc. 15th Annu. ACM Sympos. Comput. Geom., pp. 49-58, 1999. Written with D. Kirkpatrick and J. Snoeyink.
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  108. An Efficient Algorithm for the Three-Dimensional Diameter Problem. Proc. 9th ACM-SIAM Sympos. Discrete Algorithms, pp. 137-146, 1998.
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  109. An Optimal Algorithm for Closest-Pair Maintenance. Discrete Comput. Geom., 19:175-195, 1998.
        bib · url · ps.gz

  110. On Constructing Minimum Spanning Trees in Rk1. Algorithmica, 18:524-529, 1997.
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  111. Covering a Set of Points by Two Axis-parallel Boxes. Proc. 9th Canad. Conf. Comput. Geom., pp. 33-38, 1997. Written with M. Segal.
        bib · url

  112. Dynamic Algorithms for Approximate Neighbor Searching. Proc. 8th Canad. Conf. Comput. Geom., pp. 252-257, 1996.
        bib · pdf

  113. An Optimal Algorithm for Dynamic Post-office Problem in R21 and Related Problems. Proc. 8th Canad. Conf. Comput. Geom., pp. 101-106, 1996.
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  114. An Optimal Algorithm for Closest Pair Maintenance. Proc. 11th Annu. ACM Sympos. Comput. Geom., pp. 152-161, 1995.
        bib · url

  115. The Region Approach for some Dynamic Closest-Point Problems. Proc. 6th Canad. Conf. Comput. Geom., pp. 75-80, 1994.
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  116. Efficient Algorithms for Computing the Modality of Polygons. Discrete Mathematics, 5(4):120-132, 1993.
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  117. Coloring the Plane and van der Waerden's Theorem. Kvant, 6:35-38, 1983.
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