Semidefinite programming.
Hi Roya. the SIMPLE algorithm is one. Take a look at the link provided. It includes sample Matlab files that you can download and adapt to your problem.
http://orion.math.uwaterloo.ca/~hwolkowicz/henry/software/MaxCut.shtml
CVX, YALMIP
Here is the link for cvx:
http://cvxr.com/cvx/doc/sdp.html
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