Title
A True O(nlog n) Algorithm for the All-k-Nearest-Neighbors Problem.
Abstract
In this paper we examined an algorithm for the All-k-Nearest-Neighbor problem proposed in 1980s, which was claimed to have an \(O(n\log {n})\) upper bound on the running time. We find the algorithm actually exceeds the so claimed upper bound, and prove that it has an \(\varOmega (n^2)\) lower bound on the time complexity. Besides, we propose a new algorithm that truly achieves the \(O(n\log {n})\) bound. Detailed and rigorous theoretical proofs are provided to show the proposed algorithm runs exactly in \(O(n\log {n})\) time.
Year
DOI
Venue
2019
10.1007/978-3-030-36412-0_29
COCOA
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Heng-Zhao Ma111.71
Jianzhong Li23196304.46