If R is the equivalence relation defined by the partition 1

If R is the equivalence relation defined by the partition {{1, 2}, {3, 4}, {5}, {6}, {7}}, which of the graphs below represents the quotient G^R graph of the graph G represented below. The quotient graph is figure (a) The quotient graph is figure (b). The quotient graph is figure (c).

Solution

Answer:

The correct quotient graph is given by figure (a).

 If R is the equivalence relation defined by the partition {{1, 2}, {3, 4}, {5}, {6}, {7}}, which of the graphs below represents the quotient G^R graph of the g

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