Range closest-pair search in higher dimensions

TM Chan, S Rahul, J Xue - Computational Geometry, 2020 - Elsevier
Range closest-pair (RCP) search is a range-search variant of the classical closest-pair
problem, which aims to store a given set S of points into some space-efficient data structure …

Range Longest Increasing Subsequence and its Relatives: Beating Quadratic Barrier and Approaching Optimality

S Rahul - arXiv preprint arXiv:2404.04795, 2024 - arxiv.org
In this work, we present a plethora of results for the range longest increasing subsequence
problem (Range-LIS) and its variants. The input to Range-LIS is a sequence $\mathcal {S} …

[HTML][HTML] Approximate range closest-pair queries

J Xue, Y Li, R Janardan - Computational Geometry, 2020 - Elsevier
The range closest-pair (RCP) problem, as a range-search version of the classical closest-
pair problem, aims to store a dataset of points in some data structure such that whenever a …

Searching for the closest-pair in a query translate

J Xue, Y Li, S Rahul, R Janardan - arXiv preprint arXiv:1807.09498, 2018 - arxiv.org
We consider a range-search variant of the closest-pair problem. Let $\varGamma $ be a
fixed shape in the plane. We are interested in storing a given set of $ n $ points in the plane …

Colored range closest-pair problem under general distance functions

J Xue - Proceedings of the Thirtieth Annual ACM-SIAM …, 2019 - SIAM
The range closest-pair (RCP) problem is the range-search version of the classical closest-
pair problem, which aims to store a given dataset of points in some data structure such that …

[HTML][HTML] Closest-pair queries in fat rectangles

SW Bae, M Smid - Computational Geometry, 2019 - Elsevier
In the range closest pair problem, we want to construct a data structure storing a set S of n
points in the plane, such that for any axes-parallel query rectangle R, the closest pair in the …

[PDF][PDF] Approximate Range Closest-Pair Search.

J Xue, Y Li, R Janardan - CCCG, 2018 - academia.edu
The range closest-pair (RCP) problem, as a rangesearch version of the classical closest-pair
problem, aims to store a dataset of points in some data structure such that whenever a query …

Cloud-based k-closest pairs discovery in dynamic cyber-physical-social systems

J Lu, G Liu, X Hua - IEEE Access, 2020 - ieeexplore.ieee.org
Given two object sets P and Q, a k-closest pairs (k-CP) query finds k closest object pairs from
P× Q. This operation is common in many real-life applications such as GIS, data mining and …

New Bounds for Range Closest-Pair Problems

J Xue, Y Li, S Rahul, R Janardan - Discrete & Computational Geometry, 2022 - Springer
Given a dataset S of points in R 2, the range closest-pair (RCP) problem aims to preprocess
S into a data structure such that when a query range X is specified, the closest-pair in S∩ X …

Closest-pair queries and minimum-weight queries are equivalent for squares

A Kazi, M Smid - Computational Geometry, 2022 - Elsevier
Let S be a set of n weighted points in the plane and let R be a query range in the plane. In
the range closest pair problem, we want to report the closest pair in the set R∩ S. In the …