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What are the properties of binary tree?
A binary tree of n elements has n-1 edgesA binary tree of height h has at least h and at most 2h - 1 elementsThe height of a binary tree with n elements is at most n and at least ?log2 (n+1)?
A full binary tree with n non leaf nodes contains how many nodes?
2n-1 nodes2n+1 is the right answer nonleaf leaf 1 2 2 3 3 4 4 5 5 6 6 7 7 8
When we insert a new node in a binary search tree will it become an internal node or terminal node?
It will be come a terminal node. Normally we call terminal nodes leaf nodes because a leaf has no branches other than its parent.
Is null node equal to leaf node?
No. A leaf node is a node that has no child nodes. A null node is a node pointer that points to the null address (address zero). Since a leaf node has no children, its child nodes are null nodes.
A full binary tree with n nonleaves contains how many nodes?
Convert n to a binary value, then set the next most significant bit. For instance, if there are 7 non-leaves, this equates to 00000111 in binary. Each bit tells us how many non-leaves exist in each level, where the least-significant bit (bit 0) represents the root node and the most-significant bit (bit 2) represents the lowest level. Thus we have 1+2+4=7 non-leaf nodes in total. The next most-significant bit (bit 3) represents the leaf nodes and if we set that bit we get 00001111, which is 15 decimal. Thus there are 15 nodes in total. We can visualise this binary tree using hexadecimal notation: 1 2 3 4 5 6 7 8 9 a b c d e f (Note: 0xf = 15 decimal). Using binary notation, we get the following: 1st level (bit 0) = 00000001 = 1 non-leaf node (the root) 2nd level (bit 1) = 00000010 = 2 non-leaf nodes 3rd level (bit 2) = 00000100 = 4 non-leaf nodes 4th level (bit 3) = 00001000 = 8 leaf nodes Thus we get: 00000001+00000010+00000100+00001000=00001111 Or, in decimal: 1+2+4+8=15
The height of Complete Binary tree is in terms of :option1. n2. logn3. n^2?
The height of a complete binary tree is in terms of log(n) where n is the number of nodes in the tree. The height of a complete binary tree is the maximum number of edges from the root to a leaf, and in a complete binary tree, the number of leaf nodes is equal to the number of internal nodes plus 1. Since the number of leaf nodes in a complete binary tree is equal to 2^h where h is the height of the tree, we can use log2 to find the height of a complete binary tree in terms of the number of nodes.
How many non leaf nodes are there in a complete binary tree of height h?
4
What is the difference between strictly binary tree and complete binary tree?
Complete Binary tree: -All leaf nodes are found at the tree depth level -All nodes(non-leaf) have two children Strictly Binary tree: -Nodes can have 0 or 2 children
What is the difference between extended binary tree and complete binary tree?
Complete Binary tree: All leaf nodes are found at the tree depth level and All non-leaf nodes have two children. Extended Binary tree: Nodes can have either 0 or 2 children.
What is the number of nodes of degree 2 in binary tree which has n leaf nodes?
Ne=N2+1Here Ne=no. of leaf nodesN2= no. of nodes of degree 2
How can one determine the height of a binary tree?
To determine the height of a binary tree, you can start at the root node and recursively calculate the height of the left and right subtrees. The height of the tree is the maximum height of the left and right subtrees, plus one for the root node. This process continues until you reach the leaf nodes, which have a height of 0.
What is the height of a binary search tree?
The height of a binary search tree is the maximum number of edges from the root node to a leaf node. It represents the longest path from the root to a leaf in the tree.
What are the properties of binary tree?
A binary tree of n elements has n-1 edgesA binary tree of height h has at least h and at most 2h - 1 elementsThe height of a binary tree with n elements is at most n and at least ?log2 (n+1)?
What do you mean by strictly binary tree?
A strictly binary tree is a tree in which every node other than the leaf nodes has exactly two children. OR in the Graph Theory perspective a tree having it's root vertex with degree 2 and all other non-leaf vertex of degree 3 and leaf vertex of degree 1, is called as the strictly binary tree. it is also called as the 2-tree or full binary tree.
A full binary tree with n non leaf nodes contains how many nodes?
2n-1 nodes2n+1 is the right answer nonleaf leaf 1 2 2 3 3 4 4 5 5 6 6 7 7 8
What is the number of nodes in a strictly binary tree which has n leaves?
IF EVERY NON-LEAF NODE IN A BINARY TREE HAS HAS NONEMPTY LEFT AND RIGHT SUBTREES, THE TREE IS TERMED AS A STRICTLY BINARY TREE. SUCH A TREE WITH n LEAVES ALWAYS CONTAINS 2n-1 NODES.
How can one determine the height of a Binary Search Tree (BST)?
The height of a Binary Search Tree (BST) can be determined by finding the longest path from the root to a leaf node. This can be done by starting at the root and recursively calculating the height of the left and right subtrees, then taking the maximum of the two heights and adding 1 for the current node. This process is repeated until all nodes are accounted for, resulting in the height of the BST.
