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A B-Tree can be described as a tree that has many nodes up, as well as many nodes down. A B-Tree not only has an order but they also have keys and pointers.

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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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