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Difference between almost complete binary tree and complete binary tree?
Wiki User
∙ 12y ago
A full tree is a tree where all nodes except the leaves have the maximum number of children. For a BST, that would be two children per node.
A complete tree is the same thing, except that the bottom level does not need to be full. It can be missing leaf nodes, however the ones present must be shifted to the left.
Wiki User
∙ 14y ago
Wiki User
∙ 12y agoA complete binary tree may also be defined as a full binary tree in which all leaves are at depth n or (n-1) for some n. In order for a tree to be the latter kind of complete binary tree, all the children on the last level must occupy the leftmost spots consecutively, with no spot left unoccupied in between any two. For example, if two nodes on the bottommost level each occupy a spot with an empty spot between the two of them, but the rest of the children nodes are tightly wedged together with no spots in between, then the tree cannot be a complete binary tree due to the empty spot.
An almost complete binary tree is a tree in which each node that has a right child also has a left child. Having a left child does not require a node to have a right child. In other words, an almost complete binary tree is a tree where for a right child, there is always a left child, but for a left child there may not be a right child. The number of nodes in a binary tree can be found using this formula: n=2^h where n is the amount of nodes in the tree, and h is the height of the tree.
Wiki User
∙ 13y agoFull binary tree: every node other than the leaves all have 2 children
Complete binary tree: Full binary tree with all leaves on at most two adjacent levels.
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