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Diffstat (limited to 'sourcecodes/bnt-master/graph/scc.m')
| -rw-r--r-- | sourcecodes/bnt-master/graph/scc.m | 64 |
1 files changed, 64 insertions, 0 deletions
diff --git a/sourcecodes/bnt-master/graph/scc.m b/sourcecodes/bnt-master/graph/scc.m new file mode 100644 index 00000000..9a2e8b9d --- /dev/null +++ b/sourcecodes/bnt-master/graph/scc.m @@ -0,0 +1,64 @@ +function [c,v] = scc(a,tol) + +% Finds the strongly connected sets of vertices +% in the DI-rected G-raph of A +% c = 0-1 matrix displaying accessibility +% v = displays the equivalent classes +% +% v(i,j) is the j'th member of the i'th equiv class (0 padded) +% +% http://www.math.wsu.edu/math/faculty/tsat/matlab.html + +[m,n] = size(a); +if m~=n 'Not a Square Matrix', break, end +b=abs(a); o=ones(size(a)); x=zeros(1,n); +msg='The Matrix is Irreducible !'; v='Connected Directed Graph !'; +if (nargin==1) tol=n*eps*norm(a,'inf'); end + +% Create a companion matrix +c = b>tol*o; +if (c==o) + % msg, break + v = 1:length(a); + return +end + + +% Compute accessibility in at most n-step paths +for k=1:n + for j=1:n + for i=1:n + % If index i accesses j, where can you go ? + if c(i,j) > 0 c(i,:) = c(i,:)+c(j,:); end + end + end +end +% Create a 0-1 matrix with the above information +c>zeros(size(a)); c=ans; if (c==o) msg, break, end + +% Identify equivalence classes +d=c.*c'+eye(size(a)); d>zeros(size(a)); d=ans; +v=zeros(size(a)); +for i=1:n find(d(i,:)); ans(n)=0; v(i,:)=ans; end + +% Eliminate displaying of identical rows +i=1; +while(i<n) + for k=i+1:n + if v(k,1) == v(i,1) + v(k,:)=x; + end + end + i=i+1; +end +j=1; +for i=1:n + if v(i,1)>0 + h(j,:)=v(i,:); + j=j+1; + end +end +v=h; + + + |
