Testing Polynomials for Vanishing on Cartesian Products of Planar Point Sets: Collinearity Testing and Related Problems

Author:

Aronov BorisORCID,Ezra EstherORCID,Sharir MichaORCID

Funder

National Science Foundation

United States: Israel Binational Science Foundation

Israel Science Foundation

German-Israeli Foundation for Scientific Research and Development

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference36 articles.

1. Agarwal, P.K., Aronov, B., Ezra, E., Zahl, J.: Efficient algorithm for generalized polynomial partitioning and its applications. SIAM J. Comput. 50(2), 760–787 (2021)

2. Agarwal, P.K., Matoušek, J., Sharir, M.: On range searching with semialgebraic sets. II. SIAM J. Comput. 42(6), 2039–2062 (2013)

3. Aronov, B., Cardinal, J.: Geometric pattern matching reduces to $$k$$-SUM. In: 31st International Symposium on Algorithms and Computation. Leibniz International Proceedings in Informatics, vol. 181, # 32. Leibniz-Zent. Inform., Wadern (2020)

4. Aronov, B., Ezra, E., Sharir, M.: Testing polynomials for vanishing on Cartesian products of planar point sets. In: 36th International Symposium on Computational Geometry. Leibniz International Proceedings in Informatics, vol. 164, # 8. Leibniz-Zent. Inform., Wadern (2020)

5. Aronov, B., Ezra, E., Zahl, J.: Constructive polynomial partitioning for algebraic curves in $$\mathbb{R}^3$$ with applications. SIAM J. Comput. 49(6), 1109–1127 (2020)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Improved Algebraic Degeneracy Testing;Discrete & Computational Geometry;2024-06-25

2. Intersection Searching amid Tetrahedra in Four Dimensions;Discrete & Computational Geometry;2024-06-03

3. Time and space efficient collinearity indexing;Computational Geometry;2023-03

4. Subquadratic algorithms for some 3Sum-hard geometric problems in the algebraic decision-tree model;Computational Geometry;2023-02

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3