Let 𝐴 be the adjacency matrix of a simple undirected graph 𝐺. Suppose 𝐴 is…

GATE · 2024 · CS · Set 2 · Computer Science & IT

Let 𝐴 be the adjacency matrix of a simple undirected graph 𝐺. Suppose 𝐴 is its own inverse. Which one of the following statements is always TRUE?

  1. A.

    𝐺 is a cycle

  2. B.

    𝐺 is a perfect matching

  3. C.

    𝐺 is a complete graph

  4. D.

    There is no such graph 𝐺

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