Connected components in a graph

M=[1 2;2 5;3 4;4 6;6 7;6 8;6 9;6 10];
G=graph(M(:,1),M(:,2))
[bins,binsizes]=conncomp(G);
When I use the built in function conncomp, MATLAB always assumes that first component of graph G is the one which node 1 belongs to.
The output bins in the given example is:
bins=[1 1 2 2 1 2 2 2 2 2] How can I make the first component of my graph is where node 6 (for example) belongs to?
Your help would be appreciated.
Thanks!

 采纳的回答

M=[1 2;2 5;3 4;4 6;6 7;6 8;6 9;6 10];
G=graph(M(:,1),M(:,2));
[bins,binsizes]=conncomp(G);
idx=[2,1];
binsizes=binsizes(idx);
bins=idx(bins)
bins = 1×10
2 2 1 1 2 1 1 1 1 1

3 个评论

Thank you very much, Matt!
This is so clever. But I wonder if it works for higher number of components.
Could your trick be generalized? I'm new to programming, so excuse my ignorance.
You would just need to change idx to an appropriate permutation of 1:N, e.g.,
idx=[3,1,2,4]
Awesome, got it.
Thank you again.

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