📄 topo.m
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clear;
N=100;
M=1000;
for i=1:N
x(i)=rand(1)*M;
y(i)=rand(1)*M;
end
x(1)=M*0.95;y(1)=M*0.95;
neighbour=zeros(N,N*0.2);
for i=1:N
n(i)=1;
for j=1:N
if (x(i)-x(j))^2+(y(i)-y(j))^2<M^2*0.04 & i~=j
neighbour(i,n(i))=j;
n(i)=n(i)+1;
end
end
end
hop=100*ones(N,1);hop(1)=0;k=0;computed=1;visited=zeros(N,1);
while computed<=N
for i=1:N
for j=1:n(i)-1
if hop(neighbour(i,j))==k && visited(i)==0
hop(i)=k+1;
visited(i)=1;
computed=computed+1;
end
end
end
k=k+1;
end
parent=ones(100,1);children=zeros(N,N*0.2);c=ones(100,1);hop(1)=0;
for i=1:N
k=i;
for j=1:n(i)-1
temp=neighbour(i,j);
if hop(temp)<hop(k) | (hop(temp)==hop(k) & c(temp)<c(k))
k=temp;
end
end
if k~=i
parent(i)=k;
children(k,c(k))=i;
c(k)=c(k)+1;
end
end
parent(1)=1;
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