The problem is that we attempt to solve the simplest questions cleverly, thereby rendering them unusually complex.
One should seek the simple solution.

Anton Pavlovich Chekhov (c. 1890)


You can get Math Reviews of my papers and DBLP

Publications of Sergey Bereg [ papers by category]

    2015

  1. On balanced 4-holes in bichromatic point sets. Comput. Geom. Theory Appl., 48(3):169-179, 2015. Written with J. M. Díaz-Báñez, R. Fabila-Monroy, P. Perez-Lantero, A. Ramirez-Vigueras, T. Sakai, J. Urrutia, and I. Ventura.
        bib · abstract · url · pdf

  2. Balanced Partitions of 3-colored Geometric Sets in the Plane. Discrete Applied Mathematics, 181:21-32, 2015. Written with F. Hurtado, M. Kano, M. Korman, D. Lara, C. Seara, R. Silveira, J. Urrutia, and K. Verbeek.
        bib · url

  3. The synchronization problem for information exchange between aerial robots under communication constraints. IEEE International Conference on Robotics and Automation, 2015. to appear. Written with J. M. Díaz-Báñez, L. Evaristo, M. A. Lopez, I. Maza, and A. Ollero.
        bib · url

  4. Edge Routing with Ordered Bundles. Comput. Geom. Theory Appl., 2015. to appear. Written with S. Pupyrev, L. Nachmanson, and A. E. Holroyd.
        bib · abstract · pdf

  5. 2014

  6. Guarding Orthogonal Galleries with Rectangular Rooms. The Computer Journal, 57(11):1668-1673, 2014. Written with A. L. Bajuelos and M. Martins.
        bib · url

  7. Continuous Surveillance of Points by Rotating Floodlights. Int. J. Comput. Geom. Appl., 24(03):183-196, 2014. Written with J. M. Díaz-Báñez, M. Fort, M. Lopez, P. Pérez-Lantero, and J. Urrutia.
        bib · url

  8. Optimizing some constructions with bars: new geometric knapsack problems. Journal of Combinatorial Optimization, 2014. to appear. Written with J. M. Diaz-Báñez, D. Flores-Peñaloza, S. Langerman, P. Pérez-Lantero, and J. Urrutia.
        bib · abstract · url

  9. Drawing the double circle on a grid of minimum size. Int. J. Comput. Geom. Appl., 24(3), 2014. Written with R. Fabila-Monroy, D. Flores-Peñaloza, M. Lopez, and P. Pérez-Lantero.
        bib · url · pdf

  10. 2013

  11. Drawing Permutations with Few Corners. Graph Drawing, LNCS 8242, pp. 484-495, 2013. Written with A. E. Holroyd, L. Nachmanson, and S. Pupyrev.
        bib · url

  12. On the Edge Crossing Properties of Euclidean Minimum Weight Laman Graphs. Proc. 24th Annu. Internat. Sympos. Algorithms Comput., LNCS 8283, pp. 33-43, 2013. Written with S.-H. Hong, N. Katoh, S.-H. Poon, and S. i. Tanigawa.
        bib · url

  13. 2012

  14. A New Framework for Connected Components Labeling of Binary Images. "Proc. 15th Internat. Workshop on Combinatorial Image Analysis (IWCIA'12)", pp. 90-102, 2012. Written with T. Asano.
        bib · url

  15. Small Work Space Algorithms for Some Basic Problems on Binary Images. "Proc. 15th Internat. Workshop on Combinatorial Image Analysis (IWCIA'12)", pp. 103-114, 2012. Written with T. Asano and L. Buzer.
        bib · url

  16. Computing Generalized Ham-Sandwich Cuts. Information Processing Letters, 112(13):532-534, 2012.
        bib · abstract · url · pdf

  17. Balanced line for a 3-colored point set in the plane. Electr. J. Comb., 19:P33, 2012. Written with M. Kano.
        bib · abstract · url · pdf

  18. On balanced 4-holes in bichromatic point sets. 28th European Workshop on Computational Geometry, Assisi, Perugia, Italy, 2012. Written with J. M. Díaz-Báñez, R. Fabila-Monroy, P. Perez-Lantero, A. Ramirez-Vigueras, T. Sakai, J. Urrutia, and I. Ventura.
        bib

  19. The Class Cover Problem with Boxes. Comput. Geom. Theory Appl., 45(7):294-304, 2012. Written with S. Cabello, J. M. Díaz-Báñez, P. Pérez-Lantero, C. Seara, and I. Ventura.
        bib · abstract · url

  20. Optimizing Phylogenetic Networks for Circular Split Systems. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 9:535-547, 2012. Written with P. Phipps.
        bib · abstract · url

  21. Approximating Metrics with Planar Boundary-Labeled Phylogenetic Networks. Journal of Bioinformatics and Computational Biology, 10(6), 2012. Written with R. Sheng.
        bib · url

  22. 2011

  23. Optimizing some constructions with bars - fences and umbrellas. XXX International Conference of the Chilean Computer Science Society, page 7 pages, 2011. Written with J. M. Díaz-Báñez, D. Flores-Peñaloza, S. Langerman, P. Pérez-Lantero, and J. Urrutia.
        bib

  24. The Maximum Box Problem for moving points in the plane. Journal of Combinatorial Optimization, 22(4):517-530, 2011. Written with J. M. Díaz-Báñez, P. Pérez-Lantero, and I. Ventura.
        bib · abstract · url · pdf

  25. Edge Routing with Ordered Bundles. Proc. 19th Internat. Sympos. on Graph Drawing, LNCS 7034, pp. 136-147. Springer-Verlag, 2011. Written with S. Pupyrev, L. Nachmanson, and A. E. Holroyd.
        bib · abstract · pdf

  26. 2010

  27. Guarding a Terrain by Two Watchtowers. Algorithmica, 58(2):352-390, 2010. Written with P. Agarwal, O. Daescu, H. Kaplan, S. Ntafos, M. Sharir, and B. Zhu.
        bib · abstract · url

  28. Orthogonal Ham-Sandwich Theorem in R3. Proc. 21th ACM-SIAM Sympos. Discrete Algorithms, pp. 1605-1612, 2010.
        bib · pdf

  29. Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance. Int. J. Comput. Geom. Appl., 20(4):471-484, 2010. Written with K. Buchin, M. Buchin, M. Gavrilova, and B. Zhu.
        bib · abstract · url · pdf

  30. The Class Cover Problem with Boxes. Proc. 26th European Workshop Comput. Geom., pp. 69-72, 2010. Written with S. Cabello, J. M. Díaz-Báñez, P. Pérez-Lantero, C. Seara, and I. V. Molina.
        bib · abstract · url

  31. Maximum Area Independent Sets in Disk Intersection Graphs. Int. J. Comput. Geom. Appl., 20(2):105-118, 2010. Written with A. Dumitrescu and M. Jiang.
        bib · url

  32. On covering problems of Rado. Algorithmica, 57(3):538-561, 2010. Written with A. Dumitrescu and M. Jiang.
        bib · url

  33. 2009

  34. Compatible Geometric Matchings. Comput. Geom. Theory Appl., 42(6-7):617-626, 2009. 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.
        bib · url

  35. Finding Nearest Larger Neighbors: A Case Study in Algorithm Design and Analysis. Efficient Algorithms, LNCS 5760, pp. 249-260, 2009. Written with T. Asano and D. Kirkpatrick.
        bib · url

  36. Counting Faces in Split Networks. Proc. 5th Internat. Sympos. on Bioinformatics Research and Applications (ISBRA'09), LNCS 5542, pp. 112-123, 2009. Written with L. Bao.
        bib · url

  37. A Polynomial Time Solution to Minimum Forwarding Set Problem in Wireless Ad Hoc Networks. IEEE Transactions on Parallel and Distributed Systems, 20(7):913-924, 2009. Written with M. Baysan, K. Sarac, and R. Chandrasekaran.
        bib · url · pdf

  38. On Characterizations of Rigid Graphs in the Plane Using Spanning Trees. Graphs and Combinatorics, 25(2):139-144, 2009.
        bib · url

  39. Orthogonal equipartitions. Comput. Geom. Theory Appl., 42(4):305-314, 2009.
        bib · abstract · url · pdf

  40. Orthogonal Morphing of Orthogonal Drawings. 9th Annual Fall Workshop on Computational Geometry, 2009.
        bib

  41. Approximating Barrier Resilience in Wireless Sensor Networks. Proc. of the 5th Internat. Workshop on Algorithmic Aspects of Wireless Sensor Networks, LNCS 5804, pp. 29-40, 2009. Written with D. G. Kirkpatrick.
        bib · abstract · url · pdf

  42. Traversing a Set of Points with a Minimum Number of Turns. Discrete Comput. Geom., 41(1):513-532, 2009. Written with P. Bose, A. Dumitrescu, F. Hurtado, and P. Valtr.
        bib · url

  43. A PTAS for Cutting out Polygons with Lines. Algorithmica, 53(2):157-171, 2009. Written with O. Daescu and M. Jiang.
        bib · url

  44. On the Red/Blue Spanning Tree Problem. Proc. 6th Annu. Conf. on Theory and Applications of Models of Computation (TAMC), LNCS 5532, pp. 118-127, 2009. Written with M. Jiang, B. Yang, and B. Zhu.
        bib · url

  45. Matching Points with Rectangles and Squares. Comput. Geom. Theory Appl., 42(2):93-108, 2009. Written with N. Mutsanas and A. Wolff.
        bib · url

  46. 2008

  47. Compatible Geometric Matchings. 1st Topological & Geometric Graph Theory, Paris, FranceElectronic Notes in Discrete Mathematics , 31, pp. 201-206, 2008. 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.
        bib · url

  48. Clustered SplitsNetworks. Proc. 2nd Ann. Internat. Conf. on Combinatorial Optimization and Applications (COCOOA'08), LNCS 5165, pp. 469-478, 2008. Written with L. Bao.
        bib · url

  49. Efficient Algorithms for the d-Dimensional Rigidity Matroid of Sparse Graphs. Comput. Geom. Theory Appl., 40(1):37-44, 2008.
        bib · url

  50. Transforming Graphs with the Same Graphic Sequence. The Kyoto International Conference on Computational Geometry and Graph Theory, LNCS 4535, pp. 25-32, 2008. Written with H. Ito.
        bib · url

  51. 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.
        bib · url

  52. 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.
        bib · url

  53. Sliding Disks in the Plane. Int. J. Comput. Geom. Appl., 18(5):373-387, 2008. Written with A. Dumitrescu and J. Pach.
        bib

  54. Robust Point-Location in Generalized Voronoi Diagrams. In: M. L. Gavrilova, editor, Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence, pp. 285-299. Springer Berlin/Heidelberg, 2008. Written with M. L. Gavrilova and Y. Zhang.
        bib · url

  55. 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.
        bib · url

  56. Automatically Approximating 3D Points with Co-axisal Objects. IEEE Proc. ICCSA'2008, 8th International Workshop on Computational Geometry and Applications (CGA'08), pp. 373-381, 2008. Written with R. Tempero, X. Meng, C. Tu, C. Yang, and B. Zhu.
        bib · url

  57. 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.
        bib · url

  58. 2007

  59. A Scalable Clustering Method Based on Density. WSEAS Transactions on Computers, 6(8):1036-1043, 2007. Written with K. Bean, L. Khan, and B. Thuraisingham.
        bib

  60. Topological Indices in Combinatorial Chemistry. In: I. Mandoiu and A. Zelikovsky, editors, Bioinformatics Algorithms: Techniques and Applications, pp. 419-438. Wiley-Interscience, 2007.
        bib · url

  61. Wiener Indices of Balanced Binary Trees. Discrete Applied Mathematics, 155(4):457-467, 2007. Written with H. Wang.
        bib · url

  62. Phylogenetic Networks Based on the Molecular Clock Hypothesis. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 4(4):661-667, 2007. Written with Y. Zhang.
        bib · url

  63. 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.
        bib

  64. 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.
        bib · url

  65. 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.
        bib · url

  66. 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.
        bib

  67. 2006

  68. 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.
        bib · url

  69. 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.
        bib · url

  70. The Lifting Model for Reconfiguration. Discrete Comput. Geom., 35(4):653-669, 2006. Written with A. Dumitrescu.
        bib · url

  71. Competitive Algorithms for Maintaining Mobile Centers. Mobile Networks and Applications, 11(2):177-186, 2006. Written with B. Bhattacharya, D. Kirkpatrick, and M. Segal.
        bib · url

  72. 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.
        bib · url

  73. 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.
        bib · url

  74. 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.
        bib · url

  75. 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.
        bib · url · pdf

  76. 2005

  77. 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.
        bib · url

  78. Geometric Facility Location Problems with Uncertainty. Discrete Optimization, 2(1):3-34, 2005. Written with I. Averbakh.
        bib · url

  79. 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.
        bib · url

  80. An Approximate Morphing between Polylines. Int. J. Comput. Geom. Appl., 15(2):193-208, 2005.
        bib · url

  81. Certifying and Constructing Minimally Rigid Graphs in the Plane. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 73-80, 2005.
        bib · url

  82. Enumerating Pseudo-Triangulations in the Plane. Comput. Geom. Theory Appl., 30(3):207-222, 2005.
        bib · abstract · url · pdf · ps.gz

  83. Equipartitions of Measures by 2-fans. Discrete Comput. Geom., 34(1):87-96, 2005.
        bib · url

  84. Constructing Phylogenetic Networks from Trees. Proc. 5th IEEE Symposium on Bioinformatics and Bioengineering, pp. 299-306, 2005. Written with K. Bean.
        bib

  85. The Lifting Model for Reconfiguration. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 55-62, 2005. Written with A. Dumitrescu.
        bib · url

  86. Curvature-bounded Traversals of Narrow Corridors. Proc. 21th Annu. ACM Sympos. Comput. Geom., pp. 278-287, 2005. Written with D. Kirkpatrick.
        bib · url

  87. Wiener Indices of Balanced Binary Trees. International Workshop on Bioinformatics Research and Applications, LNCS 3515, pp. 851-859, 2005. Written with H. Wang.
        bib · url

  88. Phylogenetic Networks Based on the Molecular Clock Hypothesis. Proc. 5th IEEE Symposium on Bioinformatics and Bioengineering, pp. 320-323, 2005. Written with Y. Zhang.
        bib

  89. 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.
        bib · url

  90. 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.
        bib · url

  91. 2004

  92. 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.
        bib · pdf · ps

  93. On a Conjecture of Wiener Indices in Computational Chemistry. Algorithmica, 40(2):99-118, 2004. Written with A. Ban and N. Mustafa.
        bib · url · pdf

  94. 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.
        bib · url

  95. 3D Realization of Two Triangulations of a Convex Polygon. Proc. 20th European Workshop Comput. Geom., pp. 49-52, 2004.
        bib · pdf

  96. Cylindrical Hierarchy for Deforming Necklaces. Int. J. Comput. Geom. Appl., 14(1-2):3-18, 2004.
        bib · abstract · pdf

  97. Equipartitions of Measures by 2-fans. Proc. 15th Annual International Symposium on Algorithms and Computation (ISAAC'04), LNCS 3341, pp. 149-158, 2004.
        bib · url

  98. 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.
        bib

  99. Transforming Pseudo-Triangulations. Information Processing Letters, 90(3):141-145, 2004.
        bib · abstract · url · ps.gz

  100. Dynamic Algorithms for Approximating Interdistances. Nordic Journal of Computing, 11(4):344-355, 2004. Written with M. Segal.
        bib · url

  101. 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.
        bib · pdf

  102. 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.
        bib · url · ps.gz

  103. 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.
        bib · url

  104. Encoding Homotopy of Paths in the Plane. Proc. of the 6th Latin American Theoretical INformatics (LATIN'04), LNCS 2976, pp. 329-338, 2004.
        bib · url

  105. Selecting Distances in Arrangements of Hyperplanes Spanned by Points. Journal of Discrete Algorithms, 2(3):333-345, 2004. Written with M. Segal.
        bib · url · ps.gz

  106. 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.
        bib · url

  107. 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.
        bib · url · pdf · ps.gz

  108. 2003

  109. 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

  110. 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.
        bib · url

  111. An Approximate Morphing between Polylines. Proc. of the International Conference on Computational Science and Its Applications (ICCSA'03), LNCS 2669, pp. 807-816, 2003.
        bib

  112. Computing Closest Points for Segments. Int. J. Comput. Geom. Appl., 13(5):419-438, 2003.
        bib · url

  113. Computing Homotopic Shortest Paths in the Plane. J. Algorithms, 49(2):284-303, 2003.
        bib · abstract · url · pdf

  114. Computing Homotopic Shortest Paths in the Plane. Proc. 14th ACM-SIAM Sympos. Discrete Algorithms, pp. 609-617, 2003.
        bib · abstract · pdf

  115. 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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  116. 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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  117. Transforming Pseudo-Triangulations. Proc. International Conference on Computational Science, LNCS 2657, pp. 533-539, 2003.
        bib · abstract · url · ps.gz

  118. Algorithms for Shortest Paths and d-cycle Problems. Journal of Discrete Algorithms, 1(1):1-9, 2003. Written with A. Kelarev.
        bib · abstract · url · ps.gz

  119. 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.
        bib · url · pdf

  120. Dynamic Algorithms for Approximating Interdistances. Proc. 30th Internat. Colloquium on Automata, Languages and Programming, LNCS 2719, pp. 1169-1180, 2003. Written with M. Segal.
        bib · url

  121. 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.
        bib · pdf

  122. 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.
        bib · pdf

  123. 2002

  124. Computing Closest Points for Segments. Proc. 14th Canad. Conf. Comput. Geom., pp. 118-122, 2002.
        bib · url

  125. An Efficient Algorithm for Enumeration of Triangulations. Comput. Geom. Theory Appl., 23(3):271-279, 2002.
        bib · url

  126. Enumerating Pseudo-Triangulations in the Plane. Proc. 14th Canad. Conf. Comput. Geom., pp. 162-166, 2002.
        bib · abstract · ps.gz

  127. An O(n log n) Algorithm for the Zoo-keeper's Problem. Comput. Geom. Theory Appl., 24(2):63-74, 2002.
        bib · abstract · url

  128. An Optimal Morphing between Polylines. Int. J. Comput. Geom. Appl., 12(3):217-228, 2002.
        bib · abstract · url · pdf

  129. Packing Two Disks in a Polygon. Comput. Geom. Theory Appl., 23(1):31-42, 2002.
        bib · url

  130. 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.
        bib

  131. Fast Algorithms for Approximating Distances. Algorithmica, 33(2):263-269, 2002. Written with M. Segal.
        bib · abstract · url

  132. 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.
        bib · abstract · url · ps.gz

  133. 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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  134. 2001

  135. Geometric Facility Location Problems with Uncertainty. 1st Annual McMaster Optimization Conference: Theory and Applications, 2001. Written with I. Averbakh.
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  136. An Efficient Algorithm for the Three-Dimensional Diameter Problem. Discrete Comput. Geom., 25(2):235-255, 2001.
        bib · abstract · url

  137. 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.
        bib · url

  138. An O(n log n) Algorithm for the Zoo-keeper's Problem. 4th CGC Workshop on Computational Geometry, 2001.
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  139. An Optimal Morphing between Polylines. Proc. of the International Conference on Imaging Science, Systems, and Technology (CISST'01), pp. 355-360, 2001.
        bib

  140. 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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  141. 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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  142. 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.
        bib · url

  143. 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.
        bib · url

  144. 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.
        bib · url

  145. 2000

  146. An Efficient Algorithm for Enumeration of Triangulations. 3th CGC Workshop on Computational Geometry, 2000.
        bib

  147. Covering a Set of Points by Two Axis-parallel Boxes. Information Processing Letters, 75:95-100, 2000. Written with M. Segal.
        bib · url

  148. Enumerating Longest Increasing Subsequences and Patience Sorting. Information Processing Letters, 76(1-2):7-11, 2000. Written with M. Segal.
        bib · abstract · ps.gz

  149. Queries with Segments in Voronoi Diagrams. Comput. Geom. Theory Appl., 16(1):23-33, 2000. Written with J. Snoeyink.
        bib · abstract

  150. 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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  151. 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.
        bib · url · ps.gz

  152. 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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  153. Generalizing Ham Sandwich Cuts to Equitable Subdivisions. Discrete Comput. Geom., 24(4):605-622, 2000. Written with D. Kirkpatrick and J. Snoeyink.
        bib · abstract · java demo · ps.gz

  154. before 2000

  155. 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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  156. 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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  157. Rectilinear 2-center Problems. Proc. 11th Canad. Conf. Comput. Geom., pp. 68-71, 1999. Written with D. Kirkpatrick.
        bib · pdf · ps.gz

  158. Rectilinear Static and Dynamic Discrete 2-center Problems. Proc. 6th Workshop Algorithms Data Struct., LNCS 1663, pp. 276-287, 1999. Written with M. Segal.
        bib · url

  159. Queries with Segments in Voronoi Diagrams. Proc. 10th ACM-SIAM Sympos. Discrete Algorithms, pp. 121-129, 1999. Written with J. Snoeyink.
        bib · ps.gz

  160. 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.
        bib · url

  161. 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.
        bib · url

  162. An Efficient Algorithm for the Three-Dimensional Diameter Problem. Proc. 9th ACM-SIAM Sympos. Discrete Algorithms, pp. 137-146, 1998.
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  163. An Optimal Algorithm for Closest-Pair Maintenance. Discrete Comput. Geom., 19:175-195, 1998.
        bib · url · ps.gz

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

  165. Efficient Algorithms for Computing the Modality of Polygons. Discrete Mathematics, 5(4):120-132, 1993.
        bib · url

  166. Coloring the Plane and van der Waerden's Theorem. Kvant, 6:35-38, 1983.
        bib · url


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