Interpretation of 'ufactor' on a toy graph clustering

Question

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

Answer 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.