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  1. Owner
    3 months ago
    2024-10-18 5:22:31

    Trees are a natural way to model various structures such as object-oriented class hierarchies. A binary tree is a tree where each node can have at most two children which can be referred to as the left child and the right child respectively. Binary trees are a data structure which can be utilised to compactly represent data.

    A binary tree consists of nodes (a data structure which has links to the node on its.
    When a node originates from a particular node (i.e. it is to the right/left to a node), then that node is known as the child node.
    The node from which a particular node originates from is known as the parent node.
    The node linked to the left of a node is known as the left-child node.
    The node linked to the right of a node is known as the right-child node.

    In a binary tree containing N nodes, the maximum height that a binary tree can have is N-1 given that we do not count the root element (at level 0). The invariants of a binary search tree are that:

    The root node cannot have any parent node.
    Each node can only have up to two child nodes.
    Each node of a tree can be considered as the root of the subtree which originates from it.
    Elements in the left subtree are less than the parent node.
    Elements in the right subtree are greater than the parent node.

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