Computer Science · Graph Isomorphism
Consider the following statements regarding the prerequisites and conditions for Graph Isomorphism: I. Two graphs are considered isomorphic if there exists a bijection between their vertex sets that strictly preserves adjacency. II. Satisfying the conditions of having identical numbers of vertices, identical numbers of edges, and matching vertex degree sequences is sufficient to guarantee that two graphs are isomorphic. III. The presence of an identical number of edges in both graphs acts as a necessary condition for them to be considered isomorphic. IV. Graph isomorphism strictly mandates that both graphs must possess the exact same vertex degree sequence. Which of the statements given above are correct?
- 1I, III and IV Only✓
- 2I, II and III Only
- 3II, III and IV Only
- 4I and IV Only
Correct answer
I, III and IV Only
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