### LANS Publications

# "Comparison of Coarsening Schemes for Multilevel Graph Partitioning"

C. Chevalier and I. Safro

Preprint ANL/MCS-P1563-1208

Preprint Version: [pdf]

Graph partitioning is a well-known optimization problem of great interest in theoretical and applied studies. Since the 1990s, many

multilevel schemes have been introduced as a practical tool to solve this problem. A multilevel algorithm may be viewed as a process of graph

topology learning at different scales in order to generate a better approximation for any approximation method incorporated at the uncoarsening stage in the framework. In this work we compare two multilevel frameworks based on the geometric and the algebraic multigrid schemes for the partitioning problem.