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A binary tree can be empty, or consist of three parts: a 'value' (any type), and to binary trees, called as 'left child' and 'right child'

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What are Axioms of a binary tree?

A binary tree is a finite set of nodes which is either empty or consists of a root and two disjoint binary trees called the left subtree and the right subtree.We can define the data structure binary tree as follows:structure BTREEdeclare CREATE( ) --> btreeISMTBT(btree,item,btree) --> booleanMAKEBT(btree,item,btree) --> btreeLCHILD(btree) --> btreeDATA(btree) --> itemRCHILD(btree) --> btreefor all p,r in btree, d in item letISMTBT(CREATE)::=trueISMTBT(MAKEBT(p,d,r))::=falseLCHILD(MAKEBT(p,d,r))::=p; LCHILD(CREATE)::=errorDATA(MAKEBT(p,d,r))::d; DATA(CREATE)::=errorRCHILD(MAKEBT(p,d,r))::=r; RCHILD(CREATE)::=errorendend BTREE


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Algorithm of btree in pascal language?

A B-tree is a self-balancing tree data structure that maintains sorted data and allows search, sequential access, insertions, and deletions in logarithmic time. In Pascal, the B-tree can be implemented using records to define nodes, with pointers to child nodes and a list of keys. Key operations include searching for a key, inserting a key (which may involve splitting nodes), and deleting a key (which may involve merging nodes). The structure ensures that all leaves are at the same depth, maintaining balance.

Related Questions

What are Axioms of a binary tree?

A binary tree is a finite set of nodes which is either empty or consists of a root and two disjoint binary trees called the left subtree and the right subtree.We can define the data structure binary tree as follows:structure BTREEdeclare CREATE( ) --> btreeISMTBT(btree,item,btree) --> booleanMAKEBT(btree,item,btree) --> btreeLCHILD(btree) --> btreeDATA(btree) --> itemRCHILD(btree) --> btreefor all p,r in btree, d in item letISMTBT(CREATE)::=trueISMTBT(MAKEBT(p,d,r))::=falseLCHILD(MAKEBT(p,d,r))::=p; LCHILD(CREATE)::=errorDATA(MAKEBT(p,d,r))::d; DATA(CREATE)::=errorRCHILD(MAKEBT(p,d,r))::=r; RCHILD(CREATE)::=errorendend BTREE


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