Aronov, Boris; Basit, Abdul; Ramesh, Indu; Tasinato, Gianluca; Wagner, Uli Eight-Partitioning Points in 3D, and Efficiently Too. arXiv:2403.02627 Preprint, arXiv:2403.02627 [cs.CG] (2024). MSC: 52-08 52C45 52C35 68Q25 × Cite Format Result Cite Full Text: arXiv OA License
Aronov, Boris; Basit, Abdul; de Berg, Mark; Gudmundsson, Joachim Partitioning axis-parallel lines in 3D. (English) Zbl 1535.68422 CGT, Comput. Geom. Topol. 2, No. 1, Paper No. 9, 20 p. (2023). MSC: 68U05 51M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Ezra, Esther; Sharir, Micha; Zigdon, Guy Time and space efficient collinearity indexing. (English) Zbl 07639688 Comput. Geom. 110, Article ID 101963, 6 p. (2023). MSC: 68Wxx 68Qxx 68Uxx × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Cardinal, Jean; Ezra, Esther; Iacono, John; Sharir, Micha Subquadratic algorithms for some 3sum-hard geometric problems in the algebraic decision-tree model. (English) Zbl 1534.68236 Comput. Geom. 109, Article ID 101945, 21 p. (2023). MSC: 68U05 52C30 68W40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agarwal, Pankaj K.; Aronov, Boris; Ezra, Esther; Katz, Matthew J.; Sharir, Micha Intersection queries for flat semi-algebraic objects in three dimensions and related problems. (English) Zbl 07849002 Goaoc, Xavier (ed.) et al., 38th international symposium on computational geometry, SoCG 2022, Berlin, Germany, June 7–10, 2022. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 224, Article 4, 14 p. (2022). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Ezra, Esther; Sharir, Micha Testing polynomials for vanishing on Cartesian products of planar point sets: collinearity testing and related problems. (English) Zbl 1514.14073 Discrete Comput. Geom. 68, No. 4, 997-1048 (2022). Reviewer: Nelly Villamizar (Swansea) MSC: 14Q30 52C10 52C45 68P05 68Q25 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Cardinal, Jean Geometric pattern matching reduces to \(k\)-SUM. (English) Zbl 07585834 Discrete Comput. Geom. 68, No. 3, 850-859 (2022). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Filtser, Omrit; Katz, Matthew J.; Sheikhan, Khadijeh Bipartite diameter and other measures under translation. (English) Zbl 07585826 Discrete Comput. Geom. 68, No. 3, 647-663 (2022). MSC: 68U05 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Cardinal, Jean; Ezra, Esther; Iacono, John; Sharir, Micha Subquadratic algorithms for some 3Sum-hard geometric problems in the algebraic decision tree model. (English) Zbl 1535.68423 Ahn, Hee-Kap (ed.) et al., 32nd international symposium on algorithms and computation, ISAAC 2021, Fukuoka, Japan, December 6–8, 2021. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 212, Article 3, 15 p. (2021). MSC: 68U05 52C30 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; De Berg, Mark; Gudmundsson, Joachim; Horton, Michael On \(\beta\)-plurality points in spatial voting games. (English) Zbl 1535.68424 ACM Trans. Algorithms 17, No. 3, Article No. 24, 21 p. (2021). MSC: 68U05 91B12 91B14 91B72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agarwal, Pankaj K.; Aronov, Boris; Ezra, Esther; Zahl, Joshua Efficient algorithm for generalized polynomial partitioning and its applications. (English) Zbl 1543.14044 SIAM J. Comput. 50, No. 2, 760-787 (2021). MSC: 14P10 03C10 14Q30 68P05 68W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Donakonda, Anirudh; Ezra, Esther; Pinchasi, Rom On pseudo-disk hypergraphs. (English) Zbl 1470.68232 Comput. Geom. 92, Article ID 101687, 8 p. (2021). MSC: 68U05 05C10 05C65 05C69 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Cardinal, Jean Geometric pattern matching reduces to \(k\)-SUM. (English) Zbl 07765390 Cao, Yixin (ed.) et al., 31st international symposium on algorithms and computation, ISAAC 2020, Hong Kong, China, virtual conference, December 14–18, 2020. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 181, Article 32, 9 p. (2020). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Ezra, Esther; Sharir, Micha Testing polynomials for vanishing on Cartesian products of planar point sets. (English) Zbl 07760137 Cabello, Sergio (ed.) et al., 36th international symposium on computational geometry, SoCG 2020, Zürich, Switzerland (virtual conference), June 23–26, 2020. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 164, Article 8, 14 p. (2020). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; De Berg, Mark; Gudmundsson, Joachim; Horton, Michael On \(\beta\)-plurality points in spatial voting games. (English) Zbl 1533.68343 Cabello, Sergio (ed.) et al., 36th international symposium on computational geometry, SoCG 2020, Zürich, Switzerland (virtual conference), June 23–26, 2020. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 164, Article 7, 15 p. (2020). MSC: 68U05 91B12 68-06 68W99 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Bar-On, Gali; Katz, Matthew J. Resolving SINR queries in a dynamic setting. (English) Zbl 1497.68135 SIAM J. Comput. 49, No. 6, 1271-1290 (2020). MSC: 68P05 68U05 68W20 68W40 94A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Ezra, Esther; Zahl, Joshua Constructive polynomial partitioning for algebraic curves in \(\mathbb{R}^3\) with applications. (English) Zbl 1497.68515 SIAM J. Comput. 49, No. 6, 1109-1127 (2020). MSC: 68U05 14P05 14Q05 14Q30 68W40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Miller, Edward Y.; Sharir, Micha Eliminating depth cycles among triangles in three dimensions. (English) Zbl 1462.68202 Discrete Comput. Geom. 64, No. 3, 627-653 (2020). MSC: 68U05 14Q20 52C35 52C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agarwal, Pankaj K.; Aronov, Boris; Ezra, Esther; Zahl, Joshua An efficient algorithm for generalized polynomial partitioning and its applications. (English) Zbl 1542.14071 Barequet, Gill (ed.) et al., 35th international symposium on computational geometry, SoCG 2019, Portland, Oregon, USA, June 18–21, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 129, Article 5, 14 p. (2019). Reviewer: Aris Daniilidis (Wien) MSC: 14P10 68W20 52B55 03C10 68P05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Filtser, Omrit; Katz, Matthew J.; Sheikhan, Khadijeh Bipartite diameter and other measures under translation. (English) Zbl 07559117 Niedermeier, Rolf (ed.) et al., 36th international symposium on theoretical aspects of computer science, STACS 2019, March 13–16, 2019, Berlin, Germany. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 126, Article 8, 14 p. (2019). MSC: 68U05 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Filtser, Omrit; Horton, Michael; Katz, Matthew J.; Sheikhan, Khadijeh Efficient nearest-neighbor query and clustering of planar curves. (English) Zbl 1534.68237 Friggstad, Zachary (ed.) et al., Algorithms and data structures. 16th international symposium, WADS 2019, Edmonton, AB, Canada, August 5–7, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11646, 28-42 (2019). MSC: 68U05 68P05 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Ezra, Esther; Zahl, Joshua Constructive polynomial partitioning for algebraic curves in \(\mathbb{R}^3\) with applications. (English) Zbl 1432.68482 Chan, Timothy M. (ed.), Proceedings of the 30th annual ACM-SIAM symposium on discrete algorithms, SODA 2019, San Diego, CA, USA, January 6–9, 2019. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 2636-2648 (2019). MSC: 68U05 14P05 14Q05 14Q30 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris (ed.); Katz, Matthew J. (ed.) Guest editors’ foreword. (English) Zbl 1426.68005 Discrete Comput. Geom. 61, No. 4, 695-697 (2019). MSC: 68-06 68U05 00B25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Bar-On, Gali; Katz, Matthew J. Resolving SINR queries in a dynamic setting. (English) Zbl 1497.68136 Chatzigiannakis, Ioannis (ed.) et al., 45th international colloquium on automata, languages, and programming. ICALP 2018, Prague, Czech Republic, July 9–13, 2018. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 107, Article 145, 13 p. (2018). MSC: 68P05 68U05 68W20 68W40 94A05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Katz, Matthew J. Batched point location in SINR diagrams via algebraic tools. (English) Zbl 1454.68152 ACM Trans. Algorithms 14, No. 4, Article No. 41, 29 p. (2018). MSC: 68U05 68P05 94A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Bose, Prosenjit; Demaine, Erik D.; Gudmundsson, Joachim; Iacono, John; Langerman, Stefan; Smid, Michiel Data structures for halfplane proximity queries and incremental Voronoi diagrams. (English) Zbl 1410.68361 Algorithmica 80, No. 11, 3316-3334 (2018). MSC: 68U05 68P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Sharir, Micha Almost tight bounds for eliminating depth cycles in three dimensions. (English) Zbl 1390.68703 Discrete Comput. Geom. 59, No. 3, 725-741 (2018). MSC: 68U05 14Q20 52C35 52C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Miller, Edward Y.; Sharir, Micha Eliminating depth cycles among triangles in three dimensions. (English) Zbl 1410.68362 Klein, Philip N. (ed.), Proceedings of the 28th annual ACM-SIAM symposium on discrete algorithms, SODA 2017, Barcelona, Spain, January 16–19, 2017. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 2476-2494 (2017). MSC: 68U05 14Q20 52C35 52C45 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Korman, Matias; Pratt, Simon; van Renssen, André; Roeloffzen, Marcel Time-space trade-offs for triangulating a simple polygon. (English) Zbl 1393.68169 J. Comput. Geom. 8, No. 1, 105-124 (2017). MSC: 68U05 68W20 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris (ed.); Katz, Matthew J. (ed.) 33rd international symposium on computational geometry. SoCG 2017, Brisbane, Australia, July 4–7, 2017. Proceedings. (English) Zbl 1366.68003 LIPIcs – Leibniz International Proceedings in Informatics 77. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-038-5). xvii, 67 articles, not consecutively paged, electronic only, open access (2017). MSC: 68-06 68U05 00B25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Cheong, Otfried; Dobbins, Michael Gene; Goaoc, Xavier The number of holes in the union of translates of a convex set in three dimensions. (English) Zbl 1361.52005 Discrete Comput. Geom. 57, No. 1, 104-124 (2017). Reviewer: Zsolt Lángi (Budapest) MSC: 52B55 68Q25 52A15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Driemel, Anne; Van Kreveld, Marc; Löffler, Maarten; Staals, Frank Segmentation of trajectories on nonmonotone criteria. (English) Zbl 1398.68608 ACM Trans. Algorithms 12, No. 2, Article No. 26, 28 p. (2016). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Moroz, Guillaume; Aronov, Boris Computing the distance between piecewise-linear bivariate functions. (English) Zbl 1398.68621 ACM Trans. Algorithms 12, No. 1, Article No. 3, 13 p. (2016). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Cheong, Otfried; Dobbins, Michael Gene; Goaoc, Xavier The number of holes in the union of translates of a convex set in three dimensions. (English) Zbl 1387.52004 Fekete, Sándor (ed.) et al., 32nd international symposium on computational geometry, SoCG’16, Boston, MA, USA, June 14–17, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-009-5). LIPIcs – Leibniz International Proceedings in Informatics 51, Article 10, 16 p. (2016). MSC: 52A20 68Q17 68T40 68U05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Korman, Matias; Pratt, Simon; van Renssen, André; Roeloffzen, Marcel Time-space trade-offs for triangulating a simple polygon. (English) Zbl 1378.68190 Pagh, Rasmus (ed.), 15th Scandinavian symposium and workshops on algorithm theory, SWAT 2016, Reykjavik, Iceland, June 22–24, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-011-8). LIPIcs – Leibniz International Proceedings in Informatics 53, Article 30, 12 p. (2016). MSC: 68W20 68U05 68W40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Sharir, Micha Almost tight bounds for eliminating depth cycles in three dimensions. (English) Zbl 1375.68120 Wichs, Daniel (ed.) et al., Proceedings of the 48th annual ACM SIGACT symposium on theory of computing, STOC ’16, Cambridge, MA, USA, June 19–21, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-4132-5). 1-8 (2016). MSC: 68U05 14Q20 52C35 52C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; de Berg, Mark; Eppstein, David; Roeloffzen, Marcel; Speckmann, Bettina Distance-sensitive planar point location. (English) Zbl 1344.65023 Comput. Geom. 54, 17-31 (2016). Reviewer: Krzystof Gdawiec (Sosnowiec) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Katz, Matthew J. Batched point location in SINR diagrams via algebraic tools. (English) Zbl 1440.68312 Halldórsson, Magnús M. (ed.) et al., Automata, languages, and programming. 42nd international colloquium, ICALP 2015, Kyoto, Japan, July 6–10, 2015. Proceedings. Part I. Berlin: Springer. Lect. Notes Comput. Sci. 9134, 65-77 (2015). MSC: 68U05 68P05 94A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; de Berg, Mark; Ezra, Esther; Sharir, Micha Improved bounds for the union of locally fat objects in the plane. (English) Zbl 1295.05258 SIAM J. Comput. 43, No. 2, 543-572 (2014). MSC: 05D99 52C45 68U05 68R05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran Mutual witness proximity graphs. (English) Zbl 1371.68286 Inf. Process. Lett. 114, No. 10, 519-523 (2014). MSC: 68U05 05C10 05C12 × Cite Format Result Cite Review PDF Full Text: DOI
Karasev, Roman; Hubard, Alfredo; Aronov, Boris Convex equipartitions: the spicy chicken theorem. (English) Zbl 1301.52010 Geom. Dedicata 170, 263-279 (2014). MSC: 52A20 28A75 52A38 55M20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Driemel, Anne; van Kreveld, Marc; Löffler, Maarten; Staals, Frank Segmentation of trajectories on non-monotone criteria. (English) Zbl 1422.68239 Khanna, Sanjeev (ed.), Proceedings of the 24th annual ACM-SIAM symposium on discrete algorithms, SODA 2013, New Orleans, LA, USA, January 6–8, 2013. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1897-1911 (2013). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Agarwal, Pankaj K.; Aronov, Boris; Van Kreveld, Marc; Löffler, Maarten; Silveira, Rodrigo I. Computing correlation between piecewise-linear functions. (English) Zbl 1312.68207 SIAM J. Comput. 42, No. 5, 1867-1887 (2013). MSC: 68U05 68Q25 68W20 68W25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran Witness Gabriel graphs. (English) Zbl 1271.05064 Comput. Geom. 46, No. 7, 894-908 (2013). MSC: 05C62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Aronov, Boris; de Berg, Mark; Roeloffzen, Marcel; Speckmann, Bettina Distance-sensitive planar point location. (English) Zbl 1390.68704 Dehne, Frank (ed.) et al., Algorithms and data structures. 13th international symposium, WADS 2013, London, ON, Canada, August 12–14, 2013. Proceedings. Berlin: Springer (ISBN 978-3-642-40103-9/pbk). Lecture Notes in Computer Science 8037, 49-60 (2013). MSC: 68U05 68P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Dulieu, Muriel How to cover a point set with a \(V\)-shape of minimum width. (English) Zbl 1267.65023 Comput. Geom. 46, No. 3, 298-309 (2013). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moroz, Guillaume; Aronov, Boris Computing the distance between piecewise-linear bivariate functions. (English) Zbl 1422.68255 Rabani, Yuval (ed.), Proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms, SODA 2012, Kyoto, Japan, January 17–19, 2012. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 288-293 (2012). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Aronov, Boris; de Berg, Mark Unions of fat convex polytopes have short skeletons. (English) Zbl 1247.52014 Discrete Comput. Geom. 48, No. 1, 53-64 (2012). MSC: 52C45 52B10 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Garijo, Delia; Núñez-Rodríguez, Yurai; Rappaport, David; Seara, Carlos; Urrutia, Jorge Minimizing the error of linear separators on linearly inseparable data. (English) Zbl 1243.68158 Discrete Appl. Math. 160, No. 10-11, 1441-1452 (2012). MSC: 68P05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Ezra, Esther; Aronov, Boris; Sharir, Micha Improved bound for the union of fat triangles. (English) Zbl 1375.68130 Randall, Dana (ed.), Proceedings of the 22nd annual ACM-SIAM symposium on discrete algorithms, SODA 2011, San Francisco, CA, USA, January 23–25, 2011. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1778-1785 (2011). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: Link
Abam, Mohammad Ali; Aronov, Boris; De Berg, Mark; Khosravi, Amirali Approximation algorithms for computing partitions with minimum stabbing number of rectilinear and simple polygons. (English) Zbl 1283.68334 Proceedings of the 27th annual symposium on computational geometry, SoCG 2011, Paris, France, June 13–15, 2011. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0682-9). 407-416 (2011). MSC: 68U05 68Q25 68W25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran Witness rectangle graphs. (English) Zbl 1342.68327 Dehne, Frank (ed.) et al., Algorithms and data structures. 12th international symposium, WADS 2011, New York, NY, USA, August 15–17, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22299-3/pbk). Lecture Notes in Computer Science 6844, 73-85 (2011). MSC: 68U05 05C12 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Dulieu, Muriel How to cover a point set with a V-shape of minimum width. (English) Zbl 1342.68326 Dehne, Frank (ed.) et al., Algorithms and data structures. 12th international symposium, WADS 2011, New York, NY, USA, August 15–17, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-22299-3/pbk). Lecture Notes in Computer Science 6844, 61-72 (2011). MSC: 68U05 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Dulieu, Muriel; Hurtado, Ferran Witness (Delaunay) graphs. (English) Zbl 1232.05190 Comput. Geom. 44, No. 6-7, 329-344 (2011). MSC: 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Cheong, Otfried; Goaoc, Xavier; Rote, Günter Lines pinning lines. (English) Zbl 1215.52002 Discrete Comput. Geom. 45, No. 2, 230-260 (2011). Reviewer: Mircea Balaj (Oradea) MSC: 52A15 52A35 51M30 53A25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Drusvyatskiy, Dmitriy Complexity of a Single Face in an Arrangement of s-Intersecting Curves. arXiv:1108.4336 Preprint, arXiv:1108.4336 [cs.CG] (2011). MSC: 52C30 52C45 × Cite Format Result Cite Full Text: arXiv OA License
Agarwal, Pankaj K.; Aronov, Boris; van Kreveld, Marc; Löffler, Maarten; Silveira, Rodrigo I. Computing similarity between piecewise-linear functions. (English) Zbl 1284.68574 Proceedings of the 26th annual symposium on computational geometry, SoCG 2010, Snowbird, UT, USA, June 13–16, 2010. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-0016-2). 375-383 (2010). MSC: 68U05 68W20 68W25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aronov, Boris; Ezra, Esther; Sharir, Micha Small-size \(\varepsilon\)-nets for axis-parallel rectangles and boxes. (English) Zbl 1209.68624 SIAM J. Comput. 39, No. 7, 3248-3282 (2010). MSC: 68W20 52C45 68U05 68W25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Asano, Tetsuo; Funke, Stefan Optimal triangulations of points and segments with Steiner points. (English) Zbl 1196.65040 Int. J. Comput. Geom. Appl. 20, No. 1, 89-104 (2010). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Ezra, Esther; Shair, Micha Small-size \({\varepsilon}\)-nets for axis-parallel rectangles and boxes. (English) Zbl 1304.68181 Proceedings of the 41st annual ACM symposium on theory of computing, STOC ’09. Bethesda, MD, USA, May 31 – June 2, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-613-7). 639-648 (2009). MSC: 68U05 68Q17 68W20 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Buchin, Kevin; Buchin, Maike; van Kreveld, Marc; Löffler, Maarten; Luo, Jun; Silveira, Rodrigo I.; Speckmann, Bettina Connect the dot: computing feed-links with minimum dilation. (English) Zbl 1253.68327 Dehne, Frank (ed.) et al., Algorithms and data structures. 11th international symposium, WADS 2009, Banff, Canada, August 21–23, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-03366-7/pbk). Lecture Notes in Computer Science 5664, 49-60 (2009). MSC: 68U05 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Carmi, Paz; Katz, Matthew J. Minimum-cost load-balancing partitions. (English) Zbl 1191.68754 Algorithmica 54, No. 3, 318-336 (2009). MSC: 68U05 05C10 65D18 68W25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Aurenhammer, Franz; Hurtado, Ferran; Langerman, Stefan; Rappaport, David; Seara, Carlos; Smorodinsky, Shakhar Small weak epsilon-nets. (English) Zbl 1166.52300 Comput. Geom. 42, No. 5, 455-462 (2009). MSC: 52A10 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Gray, Chris; Mumford, Elena Cutting cycles of rods in space: hardness and approximation. (English) Zbl 1192.68340 Proceedings of the nineteenth annual ACM-SIAM symposium on discrete algorithms, San Francisco, CA, January 20–22, 2008. New York, NY: Association for Computing Machinery (ACM); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-47-4). 1241-1248 (2008). MSC: 68Q25 52B55 68U05 68W25 × Cite Format Result Cite Review PDF
Aronov, Boris; Har-Peled, Sariel On approximating the depth and related problems. (English) Zbl 1180.68278 SIAM J. Comput. 38, No. 3, 899-921 (2008). MSC: 68U05 68W20 68W25 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Thite, Shripad The complexity of bisectors and Voronoi diagrams on realistic terrains. (English) Zbl 1158.68523 Halperin, Dan (ed.) et al., Algorithms – ESA 2008. 16th annual European symposium, Karlsruhe, Germany, September 15–17, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-87743-1/pbk). Lecture Notes in Computer Science 5193, 100-111 (2008). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Gray, Chris Ray shooting and intersection searching amidst fat convex polyhedra in 3-space. (English) Zbl 1161.68050 Comput. Geom. 41, No. 1-2, 68-76 (2008). MSC: 68U05 68P05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; de Berg, Mark; Cheong, Otfried; Gudmundsson, Joachim; Haverkort, Herman; Smid, Michiel; Vigneron, Antoine Sparse geometric graphs with small dilation. (English) Zbl 1139.05063 Comput. Geom. 40, No. 3, 207-219 (2008). MSC: 05C90 05C85 68R10 05C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Har-Peled, Sariel; Sharir, Micha On approximate halfspace range counting and relative epsilon-approximations. (English) Zbl 1221.51026 Proceedings of the 23rd annual symposium on computational geometry 2007, Gyeongiu, South Korea, June 6–8, 2007. New York, NY: Association for Computing Machinery (ISBN 978-1-59593-705-6). 327-336 (2007). MSC: 51M05 05C10 05C62 68U05 68W25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Asano, Tetsuo; Funke, Stefan Optimal triangulation with Steiner points. (English) Zbl 1193.68263 Tokuyama, Takeshi (ed.), Algorithms and computation. 18th international symposium, ISAAC 2007, Sendai, Japan, December 17–19, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-77118-0/pbk). Lecture Notes in Computer Science 4835, 681-691 (2007). MSC: 68U05 51E10 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Pankaj K.; Aronov, Boris; Koltun, Vladlen Efficient algorithms for bichromatic separability. (English) Zbl 1321.68422 ACM Trans. Algorithms 2, No. 2, 209-227 (2006). MSC: 68U05 68Q25 68W05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Carmi, Paz; Katz, Matthew J. Minimum-cost load-balancing partitions. (English) Zbl 1153.68360 Computational geometry (SCG’06). Proceedings of the twenty-second annual symposium on computational geometry 2006, Sedona, Arizona, USA, June, 05–07, 2006. New York, NY: Association for Computing Machinery (ISBN 1-59593-340-9). 301-308 (2006). MSC: 68P05 05C10 65D18 × Cite Format Result Cite Review PDF
Aronov, Boris; de Berg, Mark; Gray, Chris Ray shooting and intersection searching amidst fat convex polyhedra in 3-space. (English) Zbl 1153.68519 Computational geometry (SCG’06). Proceedings of the twenty-second annual symposium on computational geometry 2006, Sedona, Arizona, USA, June, 05–07, 2006. New York, NY: Association for Computing Machinery (ISBN 1-59593-340-9). 88-94 (2006). MSC: 68U05 65D18 × Cite Format Result Cite Review PDF
Aronov, Boris; Davis, Alan R.; Iacono, John; Yu, Albert Siu Cheong The complexity of diffuse reflections in a simple polygon. (English) Zbl 1145.68555 Correa, José R. (ed.) et al., LATIN 2006: Theoretical informatics. 7th Latin American symposium, Valdivia, Chile, March 20–24, 2006. Proceedings. Berlin: Springer (ISBN 3-540-32755-X/pbk). Lecture Notes in Computer Science 3887, 93-104 (2006). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Bose, Prosenjit; Demaine, Erik D.; Gudmundsson, Joachim; Iacono, John; Langerman, Stefan; Smid, Michiel Data structures for halfplane proximity queries and incremental Voronoi diagrams. (English) Zbl 1145.68554 Correa, José R. (ed.) et al., LATIN 2006: Theoretical informatics. 7th Latin American symposium, Valdivia, Chile, March 20–24, 2006. Proceedings. Berlin: Springer (ISBN 3-540-32755-X/pbk). Lecture Notes in Computer Science 3887, 80-92 (2006). MSC: 68U05 68P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Har-Peled, Sariel; Knauer, Christian; Wang, Yusu; Wenk, Carola Fréchet distance for curves, revisited. (English) Zbl 1131.68561 Azar, Yossi (ed.) et al., Algorithms – ESA 2006. 14th annual European symposium, Zurich, Switzerland, September 11–13, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38875-3/pbk). Lecture Notes in Computer Science 4168, 52-63 (2006). MSC: 68U05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aronov, Boris; Efrat, Alon; Koltun, Vladlen; Sharir, Micha On the union of \(\kappa\)-round objects in three and four dimensions. (English) Zbl 1105.52016 Discrete Comput. Geom. 36, No. 4, 511-526 (2006). MSC: 52C45 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Brönnimann, Hervé; Chang, Allen Y.; Chiang, Yi-Jen Cost prediction for ray shooting in octrees. (English) Zbl 1093.65013 Comput. Geom. 34, No. 3, 159-181 (2006). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Asano, Tetsuo; Katoh, Naoki; Mehlhorn, Kurt; Tokuyama, Takeshi Polyline fitting of planar points under min-sum criteria. (English) Zbl 1098.65011 Int. J. Comput. Geom. Appl. 16, No. 2-3, 97-116 (2006). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D17 65D10 62J02 65C60 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Smorodinsky, Shakhar On geometric permutations induced by lines transversal through a fixed point. (English) Zbl 1297.68227 Proceedings of the sixteenth annual ACM-SIAM symposium on discrete algorithms, SODA 2005, Vancouver, BC, Canada, January 23–25, 2005. New York, NY: ACM Press (ISBN 0-89871-585-7). 251-256 (2005). MSC: 68U05 × Cite Format Result Cite Review PDF
Aronov, Boris; de Berg, Mark; Cheong, Otfried; Gudmundsson, Joachim; Haverkort, Herman; Vigneron, Antoine Sparse geometric graphs with small dilation. (English) Zbl 1173.68595 Deng, Xiaotie (ed.) et al., Algorithms and computation. 16th international symposium, ISAAC 2005, Sanya, Hainan, China, December 19–21, 2005. Proceedings. Berlin: Springer (ISBN 3-540-30935-7/pbk). Lecture Notes in Computer Science 3827, 50-59 (2005). MSC: 68R10 05C62 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Smorodinsky, Shakhar Geometric permutations induced by line transversals through a fixed point. (English) Zbl 1079.52503 Discrete Comput. Geom. 34, No. 2, 285-294 (2005). MSC: 52A20 52C35 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Pankaj K.; Aronov, Boris; Koltun, Vladlen; Sharir, Micha Lines avoiding unit balls in three dimensions. (English) Zbl 1077.68104 Discrete Comput. Geom. 34, No. 2, 231-250 (2005). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Brönnimann, Hervé; Chang, Allen Y.; Chiang, Yi-Jen Cost-driven octree construction schemes: An experimental study. (English) Zbl 1060.65553 Comput. Geom. 31, No. 1-2, 127-148 (2005). MSC: 65D18 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Koltun, Vladlen; Sharir, Micha Cutting triangular cycles of lines in space. (English) Zbl 1067.68157 Discrete Comput. Geom. 33, No. 2, 231-247 (2005). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Koltun, Vladlen; Sharir, Micha Incidences between points and circles in three and higher dimensions. (English) Zbl 1080.68102 Discrete Comput. Geom. 33, No. 2, 185-206 (2005). Reviewer: Ana Pereira do Vale (Braga) MSC: 68U05 52C30 05C38 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, B.; Efrat, A.; Koltun, V.; Sharir, Micha On the union of \(\kappa\)-round objects. (English) Zbl 1376.52045 Proceedings of the 20th annual symposium on computational geometry, SCG/SoCG 2004, Brooklyn, NY, USA, June 8–11, 2004. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-885-7). 383-390 (2004). MSC: 52C45 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Pankaj K.; Aronov, Boris; Koltun, Vladlen; Sharir, Micha On lines avoiding unit balls in three dimensions. (English) Zbl 1373.68421 Proceedings of the 20th annual symposium on computational geometry, SCG/SoCG 2004, Brooklyn, NY, USA, June 8–11, 2004. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-885-7). 36-45 (2004). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Agarwal, Pankaj K.; Aronov, Boris; Koltun, Vladlen Efficient algorithms for bichromatic separability. (English) Zbl 1318.68179 Proceedings of the fifteenth annual ACM-SIAM symposium on discrete algorithms, SODA 2004, New Orleans, LA, USA, January 11–13, 2004. New York, NY: Association for Computing Machinery (ACM); Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-558-X). 682-690 (2004). MSC: 68U05 68Q25 68W05 × Cite Format Result Cite Review PDF
Aronov, Boris; Asano, Tetsuo; Katoh, Naoki; Mehlhorn, Kurt; Tokuyama, Takeshi Polyline fitting of planar points under min-sum criteria. (English) Zbl 1116.65310 Fleischer, Rudolf (ed.) et al., Algorithms and computation. 15th international symposium, ISAAC 2004, Hong Kong, China, December 20–22, 2004. Proceedings. Berlin: Springer (ISBN 3-540-24131-0/pbk). Lecture Notes in Computer Science 3341, 77-88 (2004). MSC: 65D10 62J02 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Sharir, Micha Cell complexities in hyperplane arrangements. (English) Zbl 1072.52019 Discrete Comput. Geom. 32, No. 1, 107-115 (2004). Reviewer: David L. Forge (Orsay) MSC: 52C35 52B05 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Pach, János; Sharir, Micha; Tardos, Gábor Distinct distances in three and higher dimensions. (English) Zbl 1052.52010 Comb. Probab. Comput. 13, No. 3, 283-293 (2004). Reviewer: Hervé Brönnimann (Brooklyn) MSC: 52C10 52B05 05B25 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Schiffenbauer, Robert; Sharir, Micha On the number of views of translates of a cube and related problems. (English) Zbl 1045.65015 Comput. Geom. 27, No. 2, 179-192 (2004). Reviewer: Ferran Hurtado (Barcelona) MSC: 65D18 52C45 68R10 51N05 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Bronnimann, Hervé; Chang, Allen Y.; Chiang, Yi-Jen Cost-driven octree construction schemes: an experimental study. (English) Zbl 1374.68637 Proceedings of the 19th annual symposium on computational geometry, SCG/SoCG 2003, San Diego, CA, USA, June 8–10, 2003. New York, NY: Association for Computing Machinery (ACM) (ISBN 1-58113-663-3). 227-236 (2003). MSC: 68U05 68P05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Pach, János; Sharir, Micha; Tardos, Gábor Distinct distances in three and higher dimensions. (English) Zbl 1192.52024 Proceedings of the thirty-fifth annual ACM symposium on theory of computing (STOC 2003), San Diego, CA, USA,. New York, NY: ACM Press (ISBN 1-58113-674-9). 541-546, electronic only (2003). MSC: 52C10 52B05 05B25 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris; Koltun, Vladlen; Sharir, Micha Cutting triangular cycles of lines in space. (English) Zbl 1192.68726 Proceedings of the thirty-fifth annual ACM symposium on theory of computing (STOC 2003), San Diego, CA, USA,. New York, NY: ACM Press (ISBN 1-58113-674-9). 547-555, electronic only (2003). MSC: 68U05 52B55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Agarwal, Pankaj K.; Aronov, Boris; Sharir, Micha On the complexity of many faces in arrangements of pseudo-segments and circles. (English) Zbl 1077.52515 Aronov, Boris (ed.) et al., Discrete and computational geometry. The Goodman-Pollack Festschrift. Berlin: Springer (ISBN 3-540-00371-1/hbk). Algorithms Comb. 25, 1-24 (2003). MSC: 52C30 68U05 × Cite Format Result Cite Review PDF
Aronov, Boris; van Kreveld, Marc; van Oostrum, René; Varadarajan, Kasturi Facility location on a polyhedral surface. (English) Zbl 1055.68115 Discrete Comput. Geom. 30, No. 3, 357-372 (2003). Reviewer: Sándor Fekete (Braunschweig) MSC: 68U05 52C30 52B55 90C57 × Cite Format Result Cite Review PDF Full Text: DOI
Aronov, Boris (ed.); Basu, Saugata (ed.); Pach, János (ed.); Sharir, Micha (ed.) Discrete and computational geometry. The Goodman-Pollack Festschrift. (English) Zbl 1014.00040 Algorithms and Combinatorics. 25. Berlin: Springer. xii, 853 p. (2003). MSC: 00B30 52-06 68-06 60-06 05-06 × Cite Format Result Cite Review PDF
Aronov, Boris; Brönnimann, Hervé; Chang, Allen Y.; Chiang, Yi-Jen Cost prediction for ray shooting. (English) Zbl 1414.68109 Proceedings of the 18th annual symposium on computational geometry, SCG/SoCG 2002, Barcelona, Spain, June 5–7, 2002. New York, NY: Association for Computing Machinery (ACM). 293-302 (2002). MSC: 68U05 × Cite Format Result Cite Review PDF Full Text: DOI