> Is there a method in igraph to compute the k-connected components of a graph, 
> for k > 2 (I am aware that biconnected.components works for k=2 and clusters 
> works for k=1)?

As far as I know there isn't any, at least not in the C core. In the R 
interface, we have a function called cohesive.blocks which identifies maximally 
k-cohesive sets of vertices, where a set of vertices is maximally k-cohesive if 
it is k-connected and no superset of it is k-connected. The process is quite 
memory-intensive, though. Check out its documentation to decide whether this is 
something you are interested in:

http://igraph.sourceforge.net/doc/R/cohesive.blocks.html

-- 
T.


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