%MSTPLOT Plot minimum spanning trees
%
%   MSTPLOT (A,L)
%
% INPUT
%   A   Nx2 or Nx3 Data matrix
%   L   List of edges belonging to one or more minimum spanning trees
%
% DESCRIPTION
% Plots data and edges in the minimum spanning trees. Applicable only
% for 2D or 3D data. L can be found by KMST. If A is unknown, but
% dissimilarity data are given, then a 2D or 3D approximation can be
% found by PSEM.
%
% SEE ALSO
% KMST, PSEM

% Copyright: Elzbieta Pekalska, ela.pekalska@googlemail.com
% Faculty EWI, Delft University of Technology and
% School of Computer Science, University of Manchester


function mstplot (A,L)
A = +A;
[n,m] = size(A);

len = length(L);
K   = round (len/(n-1));

if m == 2,
  plot(A(:,1),A(:,2),'.r')
  text(A(:,1),A(:,2),num2str([1:n]'));
  grid on;
  hold on;
  for i=1:len
    plot([A(L(i,1),1) A(L(i,2),1)],[A(L(i,1),2) A(L(i,2),2)],'k');
  end

elseif m == 3,

  plot3(A(:,1),A(:,2),A(:,3),'.r')
  text(A(:,1),A(:,2),A(:,3),num2str([1:n]'));
  grid on;
  hold on;
  for i=1:len
    plot3([A(L(i,1),1) A(L(i,2),1)],[A(L(i,1),2) A(L(i,2),2)],[A(L(i,1),3) A(L(i,2),3)],'k');
  end
else
  error('Plotting is only possible for two or three variables.');
  return;
end

hold off
if K == 1,
  title('Minimum Spanning Tree');
else
  title([num2str(K) ' Minimum Spanning Trees']);
end
return;