Question: Q4. (20 points) Consider a directed graph that has a weight w(v) on each vertex v. Define the reachability weight of vertex v as follows:

Q4. (20 points) Consider a directed graph that has a weight

Q4. (20 points) Consider a directed graph that has a weight w(v) on each vertex v. Define the reachability weight of vertex v as follows: (v)max(w(u)lu is reachable from v) That is, the reachability weight of v is the largest weight that can be reached from v. Answer the following questions: a. [10pnts] Assume the graph is a DAG. Describe a linear time algorithm to compute the reachability weight for all vertices b. [10pnts] Assume that the graph is a general directed graph (with possible cycles). Describe a linear time algorithm to find the reachability weight for all vertices. Q4. (20 points) Consider a directed graph that has a weight w(v) on each vertex v. Define the reachability weight of vertex v as follows: (v)max(w(u)lu is reachable from v) That is, the reachability weight of v is the largest weight that can be reached from v. Answer the following questions: a. [10pnts] Assume the graph is a DAG. Describe a linear time algorithm to compute the reachability weight for all vertices b. [10pnts] Assume that the graph is a general directed graph (with possible cycles). Describe a linear time algorithm to find the reachability weight for all vertices

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