The USES relation naturally forms a graph. As mentioned in the lecture, the USES relation graph should be a Directed Acyclic Graph (DAG). (1) A graph could be represented with two different data...


The USES relation naturally forms a graph. As mentioned in the lecture, the USES relation graph<br>should be a Directed Acyclic Graph (DAG).<br>(1) A graph could be represented with two different data structures, i.e., adjacency list and adjacency<br>matrix. Represent the USES relation graph in Figure 3-1 with adjacency list and adjacency matrix.<br>3<br>2<br>4<br>5<br>6.<br>Figure 3-1: USES relation graph of the modules in a system<br>(2) Suppose the input of a USES relation graph is represented with adjacency list, develop a function<br>in pseudocode to check whether the USES relation graph is an acyclic graph, using Stepwise<br>Refinement technique taught in lectures. You should provide with at least 2 refinements. Assuming<br>there are V vertices and E edges, please state the time complexity of your algorithm.<br>

Extracted text: The USES relation naturally forms a graph. As mentioned in the lecture, the USES relation graph should be a Directed Acyclic Graph (DAG). (1) A graph could be represented with two different data structures, i.e., adjacency list and adjacency matrix. Represent the USES relation graph in Figure 3-1 with adjacency list and adjacency matrix. 3 2 4 5 6. Figure 3-1: USES relation graph of the modules in a system (2) Suppose the input of a USES relation graph is represented with adjacency list, develop a function in pseudocode to check whether the USES relation graph is an acyclic graph, using Stepwise Refinement technique taught in lectures. You should provide with at least 2 refinements. Assuming there are V vertices and E edges, please state the time complexity of your algorithm.

Jun 05, 2022
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