Handling binary variables in Sedumi

1

I want to express z(i,j)=abs(xi-xj) for which the following code I have written. Here y(i,j) is declared as binary variable. I am solving in CVX_sedumi solver which do not accomodate binary variables. Any suggestion?
Thanking you.
for i=1:n
for j=1:n
if(i<=j)
z(i,j)>=x(i)-x(j);
z(i,j)<=x(i)-x(j)+2*(y(i,j));
z(i,j)>=x(j)-x(i);
z(i,j)<=x(j)-x(i)+1*(1-y(i,j));
y(i,j)>=0; y(i,j)<=1;
end
end
end

2

An indentical post is at https://www.or-exchange.org/questions/8393/handling-binary-variables-in-sedumi-solver