Title
A constant parameterized approximation for hard-capacitated k-means.
Abstract
Hard-capacitated k-means (HCKM) is one of the remaining fundamental problems for which if there exist polynomial time constant factor approximation is not clear. But what we know is that it is at least APX-hard. Most of the existing as well as the state-of-the-art constant-factor results for hard-capacitated min-sum k-clusterings are pseudo-approximations that violate either the capacity or the cardinality constraints. In this paper, we propose an FPT approximation for HCKM without violating any hard constraints whose running time is $2^{O(klog k)}n^{O(1)}$ and performance guarantee is $69+epsilon$.
Year
Venue
DocType
2019
arXiv: Data Structures and Algorithms
Journal
Volume
Citations 
PageRank 
abs/1901.04628
0
0.34
References 
Authors
9
3
Name
Order
Citations
PageRank
Yicheng Xu102.70
Yong Zhang26810.51
Yifei Zou300.34