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20180806 16:31:53 +0100  commented answer  Help with graphs I understand this and I have reached that point. However in the first question, I can't write every single graph, I need something that aoutomatically reads all ~100 graphs that are in the graph6 file. Moreover some of the graphs sage doesn't read at all  it gives errors because of certain symbols in the string of the graph. For the second question finding the independent sets is ok, but then I need an algorithm which contracts the independent sets into new smaller graphs, so that I find hom G. 
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20180806 13:07:18 +0100  asked a question  Help with graphs I am trying to find the set of (surjective) homomorphic images of the Groetzsch Graph  G. I have two ideas, but I am stuck at both. Help with either would be very much appreciated. 1.I try narrowing down the candidate homomorphic images to graphs with chromatic number at least 4 and number of vertices at most 10 in house of graphs. Then i get a graph6 file and try to check if each of those graphs is a homomorphic image of G. This doesn't work because I don't know how exactly to import the graph6 file into sage. 
20180806 13:07:18 +0100  asked a question  Help with graphs I am trying to find the set of (surjective) homomorphic images of the Groetzsch Graph  G. I have two ideas, but I am stuck at both. Help with either would be very much appreciated. 1.I try narrowing down the candidate homomorphic images to graphs with chromatic number at least 4 and number of vertices at most 10 in house of graphs. Then i get a graph6 file and try to check if each of those graphs is a homomorphic image of G. This doesn't work because I don't know how exactly to import the graph6 file into sage.
