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Learning objective

Simple tree-traversal algorithms: Be able to trace the tree-traversal algorithms: • pre-order • post-order • in-order. Be able to describe uses of tree-traversal algorithms. Pre-Order: copying a tree. In-Order: binary search tree, outputting the contents of a binary search tree in ascending order. Post-Order: Infix to RPN (Reverse Polish Notation) conversions, producing a postfix expression from an expression tree, emptying a tree.

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Topic

Tree-traversal

Subtopic

Simple tree-traversal algorithms

Aqa A Level Computer ScienceFundamentals of algorithms

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Quick explanation

Simple tree-traversal algorithms: Be able to trace the tree-traversal algorithms: • pre-order • post-order • in-order. Be able to describe uses of tree-traversal algorithms. Pre-Order: copying a tree. In-Order: binary search tree, outputting the contents of a binary search tree in ascending order. Post-Order: Infix to RPN (Reverse Polish Notation) conversions, producing a postfix expression from an expression tree, emptying a tree

  • This point belongs to Tree-traversal, especially Simple tree-traversal algorithms.
  • You need to be able to simple tree-traversal algorithms: Be able to trace the tree-traversal algorithms: • pre-order • post-order • in-order. Be able to describe uses of tree-traversal algorithms. Pre-Order: copying a tree. In-Order: binary search tree, outputting the contents of a binary search tree in ascending order. Post-Order: Infix to RPN (Reverse Polish Notation) conversions, producing a postfix expression from an expression tree, emptying a tree.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Why it matters

This objective helps connect Simple tree-traversal algorithms to exam-style questions, flashcards, and revision notes for Tree-traversal.

Quick student answer

Consider this tree: M is the root; M has left child F and right child T; F has left child C and right child H; T has left child R and right child W. What is the pre-order traversal?

Direct answer

M, F, C, H, T, R, W

Key terms

  • Tree traversal: A systematic process for visiting the nodes of a tree in a specified order, such as pre-order, in-order or post-order.
  • Reverse Polish Notation (RPN): Postfix notation in which an operator is placed after the values or subexpressions to which it applies.

Common trap

Putting the root in the wrong position: Remember the three patterns: pre-order is current-left-right, in-order is left-current-right, and post-order is left-right-current.

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