Question: et = ( , ) G = ( V , E ) be a graph and : - > + c:E R + be an

et =(,)G=(V,E) be a graph and :->+c:ER + be an edge cost function. We call an edge in e in E (1) necessary if e is contained in every minimum spanning tree; (2) useless if no minimum spanning tree contains e; (3) optional else. How many edges in the graph below are necessary

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