问题
I am trying to do a imbalanced partition by METIS. I do not need equal number of vertices in each cluster(which is done by default in METIS). My graph has no constraints, it's a undirected unweighted graph. Here is a example toy graph clustered by METIS without no ufactor parameter.
Then, i tried with different ufactor and at value 143, METIS starts to
do the expected cluster like the following-
Can anybody interpret this. Eventually, I want to find a way to guess an ufactor from any unbalanced and undirected graph that will minimize the normalized cut without doing any balance necessarily.
回答1:
Imbalance=1+(ufactor/1000). By default imbalance=1. Number of vertex in largest cluster-
imbalance*(number of vertex/number of cluster)
For first picture(default clustering)- number of vertex in larges cluster-
1*(14/2)=7, so the second cluster is also 14-7=7
In the second picture(ufactor 143)-
imbalance=1+143/1000=1.143
so, 1.143*(14/2)=8.001
That allows the largest cluster to have 8 vertex.
来源：https://stackoverflow.com/questions/45041064/interpretation-of-ufactor-on-a-toy-graph-clustering