A new multi-level algorithm for balanced partition problem on large scale directed graphs

Advances in Aerodynamics

Chenxia Zhao¹  Xianyue Li¹  Qingzhen Dong¹  Yufei Pang²  Yang Liu² 

[1] School of Mathematics and Statistics, Lanzhou University, 730000, Lanzhou, Gansu, China;State Key Laboratory of Aerodynamics, 621000, Mianyang, Sichuan, China;Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, 621000, Mianyang, Sichuan, China;

关键词: Graph partition problem;    Large scale graphs;    Directed graphs;    Multi-level strategy;   

DOI  :  10.1186/s42774-021-00074-x

来源: Springer

【 摘 要 】

Graph partition is a classical combinatorial optimization and graph theory problem, and it has a lot of applications, such as scientific computing, VLSI design and clustering etc. In this paper, we study the partition problem on large scale directed graphs under a new objective function, a new instance of graph partition problem. We firstly propose the modeling of this problem, then design an algorithm based on multi-level strategy and recursive partition method, and finally do a lot of simulation experiments. The experimental results verify the stability of our algorithm and show that our algorithm has the same good performance as METIS. In addition, our algorithm is better than METIS on unbalanced ratio.

【 授权许可】

CC BY