59 lines
977 B
Matlab
59 lines
977 B
Matlab
clc;
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clear;
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fileID = fopen('karate.adj','r');
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row = split(strtrim(fgetl(fileID)));
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n = size(row,1);
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frewind(fileID);
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ii = [];
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jj = [];
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vv = [];
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for i = 1:n
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row = split(strtrim(fgetl(fileID)));
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for j = 1:n
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num = str2double(row(j));
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if num ~= 0
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ii(end+1) = i;
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jj(end+1) = j;
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vv(end+1) = num;
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end
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end
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end
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fclose(fileID);
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A = sparse(ii,jj,vv,n,n);
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names = string(1:n);
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disp("Exercise 6.1:");
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degcentrality(names,A);
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disp("Exercise 6.2:");
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pagerank(names,A);
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disp("Exercise 6.4:");
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x = randperm(n);
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gs = 450;
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%group1 = [1 2 3 4 5 6 7 8 11 12 13 14 17 18 20 22];
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%group2 = [9 10 15 16 19 21 23:34];
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deg = sum(A);
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L = full(diag(deg) - A);
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[V, D] = eig(L);
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fprintf("lambda_2: %d\n", D(2,2));
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plot(sort(V(:,2)), '.-');
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[ignore, p] = sort(V(:,2));
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figure;
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subplot(1,2,1)
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spy(A);
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subplot(1,2,2)
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spy(A(p,p));
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fprintf("Group 1: ");
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display(sort(p(1:16))');
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fprintf("Group 2: ");
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display(sort(p(17:end))');
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