scale-free network help

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Nhl 2014-6-30

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https://ww2.mathworks.cn/matlabcentral/answers/139394-scale-free-network-help

编辑： Nhl 2014-7-3

Hello; I have a homework about scale-free network. I must write a matlab program for scale-free network with matlab. There are many ready programmes in the internet. I try to write a programme by heliping ready programme and I add some codes. But I don't understand exactly the algorithm. My programme:

%clc N=100; % network size m_ilk_b_d_s=3; % initial node number adj=zeros(N,N); for i= 1: m_ilk_b_d_s adj( i, m_ilk_b_d_s-1) = 1; adj( m_ilk_b_d_s-1, i) = 1; end k =zeros (N,1) ; for i = 1:m_i_b_d_s k( i ) = (sum(adj ( i , : ) )+sum(adj (: , i ) ) ) ; end while m_i_b_d_s < N m_i_b_d_s = m_i_b_d_s + 1; for i = 1:m_i_b_d_s − 1 P = k( i ) /sum(k) ; %Preferential attachment i f (rand (1,1) < P k( i ) = k( i ) + 2; % Why add these 2? k(m) = k(m) + 2; adj ( i ,m_i_b_d_s) = 1; adj (m_i_b_d_s, i ) = 1; end% i f end;% for end;% while m return

 Can anyone help me description. Thanks......The program also must find:
(N:network size, k: link number)
*path length             L=ln N/ln<k>
*clustering coefficint   C=<k>/N
*gamma(γ)                P(k) ~ k-γ