Topic: Discrete Mathematics and its Applications" Chapter 9:Closures of Relations,

3. [Variation on 9.4#5, #17] For the relation R represented by this directed graph, D o Write the matrix representing: (a) The relation R (b) The complement of R (c) The symmetric closure of R (d) The transitive closure of R (e) Write all of the paths of length 2. (f) Write all of the circuits of length 3. (g) Write all of the circuits of length 3 in the transitive closure of R