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Copy pathgenNetbyL.m
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genNetbyL.m
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function [netG L] =genNetbyL(L)
if nargin==0
L1way= ...
[ 1 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 0 0 2 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 0 2 0 0 0 0 0 -1 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1];
L2=[ 6 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 0 0 7 -1 -1 -1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 0 7 -1 -1 -1 -1 -1 -1 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 6 -1 -1 -1 -1 -1;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 1];
Lshu20=[2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
-1 3 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 3 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 -1 0 3 0 0 0 -1 -1 0 0 0 0 0 0 0 0 0 0 0;
0 -1 0 0 3 0 0 0 0 -1 -1 0 0 0 0 0 0 0 0 0;
0 0 -1 0 0 3 0 0 0 0 0 -1 -1 0 0 0 0 0 0 0;%row 6?
0 0 -1 0 0 0 3 0 0 0 0 0 0 -1 -1 0 0 0 0 0;
0 0 0 -1 0 0 0 3 0 0 0 0 0 0 0 -1 -1 0 0 0;
0 0 0 -1 0 0 0 0 3 0 0 0 0 0 0 0 0 -1 -1 0;
0 0 0 0 -1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 -1;% row?10
0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 0 0 0 0 0 1 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 -0 0 0 0 0 0 1 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 0 0 1 0 0 0 0 0 0;
0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0;%row 15
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0;
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 0;
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0;
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 1 0;
0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 1;
];% 树形20个节点双向结构?
Lshu12=[2 -1 -1 0 0 0 0 0 0 0 0 0;
-1 3 0 -1 -1 0 0 0 0 0 0 0;
-1 0 3 0 0 -1 -1 0 0 0 0 0;
0 -1 0 3 0 0 0 -1 -1 0 0 0;
0 -1 0 0 3 0 0 0 0 -1 -1 0;
0 0 -1 0 0 1 0 0 0 0 0 0;
0 0 -1 0 0 0 2 0 0 0 0 -1;
0 0 0 -1 0 0 0 1 0 0 0 0;
0 0 0 -1 0 0 0 0 1 0 0 0;
0 0 0 0 -1 0 0 0 0 1 0 0;
0 0 0 0 -1 0 0 0 0 0 1 0;
0 0 0 0 0 0 -1 0 0 0 0 1
];%树形12个节点双向结构?
Lcu20= ...
[ 1 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
-1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;%绗簲琛?
-1 0 0 0 0 2 0 0 0 0 -1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0;%绗崄琛?
0 0 0 0 0 -1 0 0 0 0 2 0 0 0 0 -1 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0;%绗崄浜旇
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1];%绗簩鍗佽
Lhuan20=...
[ 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1;
-1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1 0;
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2 -1;
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2;
];
% select which Lapcian matrix
% L=L2;%24个节点簇形双向的
% L=L1way;%24个节点簇形单向的
% L=Lshu12;%树形12个节点双向结构
L=Lshu20;%树形20个节点双向结构
% L=Lcu20;
end
if issymmetric(L)
% a symmetric L defines a undirected graph
d=diag(L); % D is the degree matrix
A=diag(d)-L;
% Au=triu(A);
netG=graph(A,'omitselfloops');
figure('name', 'Network Topology');
plot(netG,'LineWidth',2);
title("a undirected graph ");
else
% directed graph
d=diag(L); % d is the dialog vector of matrix L
A=diag(d)-L;
netG=digraph(A,'omitselfloops');
figure('name', 'Network Topology'); plot(netG,'LineWidth',2);
title("a directed graph ");
end
tezhengzhi=eig(L);