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How many children can a node in a tree have?

How many children can a node in a tree have?

2 children
Every node has either 0 or 2 children. No node should have only 1 child node. It is also known as strictly binary tree. In a complete tree, all internal nodes have 2 children and all leaf nodes are on the same level.

When a heap is represented in an array Why is it important that the tree being represented is complete binary tree?

heap is complete binary tree so height of heap is minimum possible i.e log(size of tree). And insertion, build heap operation depends on height. So if height is minimum then their time complexity will be reduced. 2.

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Can a node in a tree have more than two children?

A binary tree is a tree in which no node has more than two children, and every child is either a left child or a right child even if it is the only child its parent has. A full binary tree is one in which every internal node has two children.

What are the children for node?

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What is sibling node?

Sibling nodes are nodes on the same hierarchical level under the same parent node. Nodes higher than a given node in the same lineage are ancestors and those below it are descendants.

Why are heaps implemented as arrays?

Heaps are commonly implemented with an array. Any binary tree can be stored in an array, but because a binary heap is always a complete binary tree, it can be stored compactly. No space is required for pointers; instead, the parent and children of each node can be found by arithmetic on array indices.

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Why array is suitable implementation for heap data structure?

Why Array? Since a Binary Heap is a Complete Binary Tree, it can be easily represented as an array and array-based representation is space-efficient. Level Order Traversal of the heap will give the order in which elements are filled in the array.

Can a node have 2 parents?

The right diagram is a multiple-parent hierarchy, where a child node can have 2 or more parents. In the right diagram above, leaf node H has 3 parents: E and F are in one branch, and G is in another branch.

Which are siblings in the above tree?

Siblings- Nodes which belong to the same parent are called as siblings.

What is meant by red-black tree explain how insertion is done in a red-black tree?

A red-black tree is a kind of self-balancing binary search tree where each node has an extra bit, and that bit is often interpreted as the colour (red or black). These colours are used to ensure that the tree remains balanced during insertions and deletions. This tree was invented in 1972 by Rudolf Bayer.