Extract largest biconnected component

But imagine a graph consisting of a 4-clique and a 5-ring overlapping in one node:


In this case your proposed method to extract the vertices with edges labeled the most frequent number doesn't work. Is there a universal recipe?

I mean, I can check the size of each bicomponent and then pick the largest one. I guess that's the universal recipe?


I suppose. I can't think of any other reasonable definition of "largest"...