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in the previous videos we have seen a few applications of semi-definite programming today we will take a look at a different problem called max cut this is really my favorite application which is the reason why i left it for last this innocent looking problem that has to do with catching graphs in two pieces is in fact an np-hard problem which in laymans terms means that if you could solve it efficiently you get a million dollar price at the risk of disappointing some of you i must say that we will not be solving the maxcus problem exactly today but we will see an approximation algorithm based on semi-definite programming with an approximation ratio of 87 what does approximation mean in this context and how does it work and where is this 87 percent coming from and how does it all relate to the famous p equal np question well i guess thats what were here to find out [Music] so where is max cut lets forget about the max part for now what does it mean to cut a graph for that you firs