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    Which of the following represents a cyclic directed graph with a node having in-degree zero, while all others have an in-degree of one?
    Question



    Which of the following represents a cyclic directed graph with a node having in-degree zero, while all others have an in-degree of one?

    A.

    Binary Tree

    B.

    Hash Tree

    C.

    Directed Tree

    D.

    B-Tree

    E.

    R-Tree

    Correct option is C

    A Directed Tree is a type of directed acyclic graph (DAG) where there is a single root node with an in-degree of zero, and every other node has exactly one parent (in-degree of one). This structure ensures hierarchical relationships without forming cycles.
    Important Key Points:
    1. In-degree: The number of incoming edges to a node in a graph.
    2. Directed Tree: A special case of a graph where nodes are connected hierarchically without cycles.
    3. Binary Tree: A type of tree where each node has at most two children, not necessarily directed.
    Knowledge Booster:
    · Hash Trees: Used in cryptographic applications like blockchain (e.g., Merkle Trees).
    · B-Trees: Self-balancing search trees for database indexing.
    · R-Trees: Used for spatial data indexing (e.g., maps).

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