May 2024
Intermediate to advanced
687 pages
18h 35m
English
Content preview from Discrete Mathematical Structures by Pearson
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Trees 11-9
11.3 BINARY TREE OF AN ALGEBRAIC EXPRESSION
Binary trees are fine tools for representing and evaluating algebraic expressions involving binary
operators. An algebraic expression containing operands and binary operators can be represented
by a binary expression tree.
Expression tree is constructed by storing the operator at the nodes (vertices) of the tree. The
first operand is represented on the left sub-tree and the second operand on the right sub-tree.
A vertex representing an operand is a leaf and a vertex representing an operator is a non-leaf.
Operators are placed following their precedence rule, that is, operators with higher ...
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