An O(n log n)-Time Algorithm for the k-Center Problem in Trees

DOI10.4230/LIPIcs.SoCG.2018.72zbMath1489.68210OpenAlexW2962711322MaRDI QIDQ5116532

Publication date: 18 August 2020

Full work available at URL: https://doi.org/10.4230/LIPIcs.SoCG.2018.72

Analysis of algorithms (68W40) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Discrete location and assignment (90B80)

Related Items (4)

A linear-time algorithm for radius-optimally augmenting paths in a metric space ⋮ Distance Domination in Graphs ⋮ Covering uncertain points in a tree ⋮ The weighted $k$-center problem in trees for fixed $k$

Cites Work

Unnamed Item
Unnamed Item
One-dimensional $k$-center on uncertain data
Efficient algorithms for the one-dimensional $k$-center problem
Optimal slope selection via expanders
Sorting in $c \log n$ parallel steps
Optimal slope selection via cuttings
A note on computing the center of uncertain data on the real line
Some variations on constrained minimum enclosing circle problem
More planar two-center algorithms
Approximating points by a piecewise linear function
A note on searching line arrangements and applications
Line-Constrained k-Median, k-Means, and k-Center Problems in the Plane
THE ALIGNED K-CENTER PROBLEM
On the Complexity of Some Common Geometric Location Problems
Generalized Selection and Ranking: Sorted Matrices
An Efficient Algorithm for 2D Euclidean 2-Center with Outliers
Optimal Algorithms for the Weighted p-Center Problems on the Real Line for Small p
Linear-Time Algorithms for Linear Programming in $R^3 $ and Related Problems
New Results on the Complexity of p-Centre Problems
Algorithms for finding P-centers on a weighted tree (for relatively small P)
An Algorithmic Approach to Network Location Problems. I: Thep-Centers
An $O(n\log ^2 n)$ Algorithm for the kth Longest Path in a Tree with Applications to Location Problems
Polynomially bounded algorithms for locatingp-centers on a tree
Stochastic k-Center and j-Flat-Center Problems
Slowing down sorting networks to obtain faster sorting algorithms
Finding kth paths and p-centers by generating and searching good data structures
The $p$-Center Problem in Tree Networks Revisited
Covering uncertain points in a tree

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