At Wed, 24 Apr 2013 13:02:39 +0100, Francesco Mazzoli wrote:
Hi list,
I’ve been lately thinking about how to implement an algorithm efficiently, and I need a directed graph that can perform the following tasks:
1. Finding the strongly connected components 2. Condensing strongly connected components 3. Contract single edges
The condensing shouldn’t prevent successive operations to work with the condensed vertices (treating them all as the same), but should get rid of the edges.
Point one is easy, for example as described in [1]. I’m wondering if a nice way to implement the other two with functional structures has been described. I’d guess it would be a mix of a graph and disjoint sets data structure...
In the end I solved point 2 the ‘stupid’ way: I have a ‘representative’ node for each condensed SCC, and when I condense I chose a new representative for all the members of the SCC in question and then I traverse the all the successors list updating and merging stale representatives. The code is here, in case anyone’s interested: https://github.com/bitonic/kant/blob/master/src/Data/LGraph.hs. Francesco