A Study of Breakout Local Search for the Minimum Sum Coloring Problem

2012 ◽  
pp. 128-137 ◽  
Author(s):  
Una Benlic ◽  
Jin-Kao Hao
Keyword(s):  
Local Search ◽  
Coloring Problem ◽  
Sum Coloring

Local search for weighted sum coloring problem

2021 ◽  
pp. 107290
Author(s):  
Dangdang Niu ◽  
Bin Liu ◽  
Minghao Yin
Keyword(s):  
Local Search ◽  
Weighted Sum ◽  
Coloring Problem ◽  
Sum Coloring

Tabu Assisted Local Search for the Minimum Load Coloring Problem

2014 ◽  
Vol 11 (12) ◽  
pp. 2476-2480 ◽  
Author(s):  
Ansheng Ye ◽  
Zhiqiang Zhang ◽  
Xiaoqing Zhou ◽  
Fang Miao
Keyword(s):  
Local Search ◽  
Coloring Problem

scholarly journals Reduction and Local Search for Weighted Graph Coloring Problem

2020 ◽  
Vol 34 (03) ◽  
pp. 2433-2441 ◽  
Author(s):  
Yiyuan Wang ◽  
Shaowei Cai ◽  
Shiwei Pan ◽  
Ximing Li ◽  
Monghao Yin
Keyword(s):  
Local Search ◽  
Graph Coloring ◽  
Search Algorithm ◽  
Weighted Graph ◽  
Coloring Problem ◽  
Massive Graphs ◽  
Configuration Checking ◽  
New Variant ◽  
Graph Coloring Problem ◽  
Important Extension

The weighted graph coloring problem (WGCP) is an important extension of the graph coloring problem (GCP) with wide applications. Compared to GCP, where numerous methods have been developed and even massive graphs with millions of vertices can be solved well, fewer works have been done for WGCP, and no solution is available for solving WGCP for massive graphs. This paper explores techniques for solving WGCP, including a lower bound and a reduction rule based on clique sampling, and a local search algorithm based on two selection rules and a new variant of configuration checking. This results in our algorithm RedLS (Reduction plus Local Search). Experiments are conducted to compare RedLS with the state-of-the-art algorithms on massive graphs as well as conventional benchmarks studied in previous works. RedLS exhibits very good performance and robustness. It significantly outperforms previous algorithms on all benchmarks.

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