How to get connected component from adjacency matrix
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The adjacency matrix is already known.
what I want to do is showed in the picture below.
I don't care about the order of the vertex.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/155703/image.png)
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采纳的回答
Guillaume
2016-8-14
A lot of graph functions have been added in R2015b. In particular, you have conncomp which gives you exactly what you want:
adjacencyMatrix =[0 1 1 0 1 0 1 0 1 0
1 0 1 0 1 0 1 0 1 0
1 1 0 0 1 0 1 0 1 0
0 0 0 0 0 0 0 1 0 0
1 1 1 0 0 0 1 0 1 0
0 0 0 0 0 0 0 0 0 1
1 1 1 0 1 0 0 0 1 0
0 0 0 1 0 0 0 0 0 1
1 1 1 0 1 0 1 0 0 0
0 0 0 0 0 1 0 1 0 0]
G = graph(adjacencyMatrix);
plot(G); %view the graph
bins = conncomp(G);
binnodes = accumarray(bins', 1:numel(bins), [], @(v) {sort(v')});
fprintf('number of Regions = %d\n\n', numel(binnodes));
for binidx = 1:numel(binnodes)
fprintf('All these nodes are connected:%s\n', sprintf(' %d', binnodes{binidx}));
end
fprintf('\n');
更多回答(1 个)
Image Analyst
2016-8-13
编辑:Image Analyst
2016-8-13
Use bwlabel() and regionprops:
[labeledMatrix, numberOfRegions] = bwlabel(A);
props = regionprops(labeledMatrix, 'PixelList');
labeledMatrix gives an ID number to each connected region. props has all the information on all the elements in each connected region. You can get indexes (rows and columns), values, areas, etc. depending on what you ask regionprops() for.
7 个评论
Image Analyst
2016-8-14
Unaccept my Answer and see if Guillaume's gives you the answer and if it does, accept his answer to give him credit.
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