Learning objective
Trees (including binary trees): Know that a tree is a connected, undirected graph with no cycles. Note that a tree does not have to have a root. Know that a rooted tree is a tree in which one vertex has been designated as the root. A rooted tree has parent-child relationships between nodes. The root is the only node with no parent and all other nodes are descendants of the root. Know that a binary tree is a rooted tree in which each node has at most two children. A common application of a binary tree is as a binary search tree. Be familiar with typical uses for rooted trees.
Read the explanation, check the common trap, then practise with flashcards and questions.
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Trees
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Trees (including binary trees)
Aqa A Level Computer ScienceFundamentals of data structures
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Quick explanation
Trees (including binary trees): Know that a tree is a connected, undirected graph with no cycles. Note that a tree does not have to have a root. Know that a rooted tree is a tree in which one vertex has been designated as the root. A rooted tree has parent-child relationships between nodes. The root is the only node with no parent and all other nodes are descendants of the root. Know that a binary tree is a rooted tree in which each node has at most two children. A common application of a binary tree is as a binary search tree. Be familiar with typical uses for rooted trees
- This point belongs to Trees, especially Trees (including binary trees).
- You need to be able to trees (including binary trees): Know that a tree is a connected, undirected graph with no cycles. Note that a tree does not have to have a root. Know that a rooted tree is a tree in which one vertex has been designated as the root. A rooted tree has parent-child relationships between nodes. The root is the only node with no parent and all other nodes are descendants of the root. Know that a binary tree is a rooted tree in which each node has at most two children. A common application of a binary tree is as a binary search tree. Be familiar with typical uses for rooted trees.
- 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 Trees (including binary trees) to exam-style questions, flashcards, and revision notes for Trees.
Quick student answer
Which statement correctly defines a tree?
Direct answer
A connected, undirected graph with no cycles
Key terms
- Rooted tree: A tree in which one vertex has been designated as the root, creating parent-child relationships between nodes.
- Binary tree: A rooted tree in which each node has at most two children.
Common trap
Assuming every tree has a root: A tree does not have to have a root. A rooted tree is a tree with one designated root vertex.
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