Dynamic Planar Point Location in External Memory

التفاصيل البيبلوغرافية
العنوان: Dynamic Planar Point Location in External Memory
المؤلفون: Munro, J. Ian, Nekrich, Yakov
سنة النشر: 2019
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Data Structures and Algorithms
الوصف: In this paper we describe a fully-dynamic data structure for the planar point location problem in the external memory model. Our data structure supports queries in $O(\log_B n(\log\log_B n)^3))$ I/Os and updates in $O(\log_B n(\log\log_B n)^2))$ amortized I/Os, where $n$ is the number of segments in the subdivision and $B$ is the block size. This is the first dynamic data structure with almost-optimal query cost. For comparison all previously known results for this problem require $O(\log_B^2 n)$ I/Os to answer queries. Our result almost matches the best known upper bound in the internal-memory model.
Comment: extended version of a SoCG'19 paper
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1903.06601
رقم الانضمام: edsarx.1903.06601
قاعدة البيانات: arXiv