For the following graph data structure select the correct statements

Question

BlackTom AI · Accepted Answer

The question asks us to evaluate statements about paths in the given graph.
Option A discusses multiple edges that would form a path from D to G: D-A, A-B, B-C, C-F, F-G. If we treat the graph as undirected (or as directed in the sequence D → A → B → C → F → G), each consecutive pair corresponds to an edge present in the diagram: D connected to A, A connected to B, B connected to C, C connected to F, and F connected to G. Following these edges in order yields a valid path from D to G: D → A → B → C → F → G. Therefore, this statement is consistent with the depicted connections and represents a valid D-to-G route.

Option B states: The following is a valid path in the graph data structure: [E-A]. In the diagram, there is a line between E and A, which means E and A are connected by an edge. A path consisting of a single edge E → A is valid as a path (assuming you interpret a path as a sequence of adjacent vertices; a single edge is a trivial two-vertex path). If the path direction matters, E → A is acceptable only if that edge is directed from E to A; if edges are undirected, A → E would also be acceptable as a path. Since the statement does not specify direction constraints beyond the edge existing, it is reasonable to accept [E-A] as a valid path segment.

In summary, both statements align with the graph’s edges as depicted: the long sequence D → A → B → C → F → G is a valid D-to-G path, and the single-edge connection between E and A constitutes a valid path segment (E-A) in the graph.

OMIS 1050 R & S Reinforcement Activity quiz 6

For the following graph data structure select the correct statements

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