Matlab: Weighted graph

%% code for SO question: http://stackoverflow.com/questions/24744959
clear
%% generate testing data
[X,Y] = ndgrid(1:20); testdata = [X(:) Y(:)]; % all possible edges
testdata(testdata(:,1)==testdata(:,2),:)=[]; % delete self loops
testdata=testdata(randperm(size(testdata,1),30),:); % take random sample of edges
testdata(:,3)=rand(size(testdata,1),1)*10; % assign random weights in range 0-10

%% get data into useable format
edges=testdata(:,1:2); %
[Verticies,~,indEdges]=unique(edges);
indEdges=reshape(indEdges,[],2);

weights=testdata(:,3);
normalisedWeights=weights/max(weights);
numeEdge=numel(weights);

numVertex=numel(Verticies);

%% create x,y coordinates for each vertex
theta=linspace(0,2*pi,numVertex+1);
theta=theta(1:end-1);
[x,y]=pol2cart(theta,1);

%% create axis colour order
colormap('autumn')

Cmap(:,2)=normalisedWeights;
Cmap(:,1)=1;
Cmap(:,3)=0;

%% plot edges
figure
colormap('autumn')
hold on
set(gca,'colororder',Cmap)  % set axis colororder to Cmap
hline=plot(x(indEdges).',y(indEdges).'); %plot edges
axis square off

set(gca,'Clim',[0 max(weights)])
colorbar    %set colour limit to match weight & add colorbar

scalefactor=5; %// scale factor (width of highest weight line)
set(hline, {'LineWidth'}, num2cell(normalisedWeights*scalefactor));

%% plot Verticies
plot(x,y,'ks')

xlim([-1.1,1.1]) % expand axis to fix labels
ylim([-1.1,1.1])
text(x(:)*1.1, y(:)*1.1, num2str(Verticies), 'FontSize',8,'HorizontalAlignment','center');
                            % add Vertex labels