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Left-child_right-sibling_binary_tree abstract "A way to represent a multiway or k-ary tree is as a binary tree. The left side of node is called a child – a specific node is one of the nodes to which it points, in the next level down on the tree, the next child node is called a sibling – like a human child it has the same parent as the other child.Every multi-way or k-ary tree structure studied in computer science admits a representation as a binary tree, which goes by various names including child-sibling representation, left-child, right-sibling binary tree, doubly chained tree or filial-heir chain.In a binary tree that represents a multi-way tree T, each node corresponds to a node in T and has two pointers: one to the node's first child, and one to its next sibling in T. The children of a node thus form a singly-linked list. To find a node n's k'th child, one needs to traverse this list:procedure kth-child(n, k): child ← n.child while k ≠ 0 and child ≠ nil: child ← child.next-sibling k ← k − 1 return child // may return nilThe process of converting from a k-ary tree to an LC-RS binary tree is sometimes called the Knuth transform. To form a binary tree from an arbitrary k-ary tree by this method, the root of the original tree is made the root of the binary tree. Then, starting with the root, each node's leftmost child in the original tree is made its left child in the binary tree, and its nearest sibling to the right in the original tree is made its right child in the binary tree.Doubly chained trees were described by Sussenguth in 1963.Processing binary tree to LC-RS binary tree, every node is linked and aligned with the left child, and the next nearest is a sibling. For example, we have a binary tree below: 1 /|\\ / | \\ / | \\ 2 3 4 / \\ | 5 6 7 / \\ 8 9We can re-write it by putting the left child node to one level below its parents and by putting the sibling next to the child at the same level – it will be linear (same line). 1 / / / 2---3---4 / / 5---6 7 / 8---9We can transform this tree to a binary tree by turning each sibling 45° clockwise. 1 / 2 / \\ 5 3 \\ \\ 6 4 / 7 / 8 \\ 9".
Left-child_right-sibling_binary_tree thumbnail The_binary_tree.jpeg?width=300.
Left-child_right-sibling_binary_tree wikiPageID "11261383".
Left-child_right-sibling_binary_tree wikiPageLength "6615".
Left-child_right-sibling_binary_tree wikiPageOutDegree "11".
Left-child_right-sibling_binary_tree wikiPageRevisionID "701115848".
Left-child_right-sibling_binary_tree wikiPageWikiLink Category:Binary_trees.
Left-child_right-sibling_binary_tree wikiPageWikiLink Computer_science.
Left-child_right-sibling_binary_tree wikiPageWikiLink Donald_Knuth.
Left-child_right-sibling_binary_tree wikiPageWikiLink K-ary_tree.
Left-child_right-sibling_binary_tree wikiPageWikiLink Linked_list.
Left-child_right-sibling_binary_tree wikiPageWikiLink Phylogenetic_tree.
Left-child_right-sibling_binary_tree wikiPageWikiLink Pointer_(computer_programming).
Left-child_right-sibling_binary_tree wikiPageWikiLink Rose_tree.
Left-child_right-sibling_binary_tree wikiPageWikiLink File:N-ary_to_binary.svg.
Left-child_right-sibling_binary_tree wikiPageWikiLink File:Pointer_implementation_of_a_trie.svg.
Left-child_right-sibling_binary_tree wikiPageWikiLink File:The_binary_tree.jpeg.
Left-child_right-sibling_binary_tree wikiPageWikiLinkText "Left-child right-sibling binary tree".
Left-child_right-sibling_binary_tree wikiPageUsesTemplate Template:CS-Trees.
Left-child_right-sibling_binary_tree wikiPageUsesTemplate Template:Mono.
Left-child_right-sibling_binary_tree wikiPageUsesTemplate Template:Mvar.
Left-child_right-sibling_binary_tree wikiPageUsesTemplate Template:Reflist.
Left-child_right-sibling_binary_tree wikiPageUsesTemplate Template:Snd.
Left-child_right-sibling_binary_tree subject Category:Binary_trees.
Left-child_right-sibling_binary_tree type Structure.
Left-child_right-sibling_binary_tree type Technique.
Left-child_right-sibling_binary_tree comment "A way to represent a multiway or k-ary tree is as a binary tree.".
Left-child_right-sibling_binary_tree label "Left-child right-sibling binary tree".
Left-child_right-sibling_binary_tree sameAs Q10854318.
Left-child_right-sibling_binary_tree sameAs درخت_دودویی_فرزند-چپ_همزاد-راست.
Left-child_right-sibling_binary_tree sameAs 二重連鎖木.
Left-child_right-sibling_binary_tree sameAs m.02r5gds.
Left-child_right-sibling_binary_tree sameAs Q10854318.
Left-child_right-sibling_binary_tree wasDerivedFrom Left-child_right-sibling_binary_tree?oldid=701115848.
Left-child_right-sibling_binary_tree depiction The_binary_tree.jpeg.
Left-child_right-sibling_binary_tree isPrimaryTopicOf Left-child_right-sibling_binary_tree.