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3 cards from this section. Quick, good the night before a test.
What is a directed acyclic graph?
Think about graphs that allow paths but not loops.
What do we understand by the term 'indegree'?
Consider how many graphs point towards a particular node.
What does a Directed Acyclic Graph (DAG) not contain?
Think about the fact that paths need to respect a starting point.
The process of arranging the vertices in a DAG respecting dependencies is called?
Remember it’s about respecting a sequence of tasks.
Given a set of courses represented as a DAG, compute the longest path and determine the minimum number of semesters needed. The courses are: 1, 2 (no prereqs), 3 (depends on 1), 4 (depends on 1), 5 (depends on 1), 6 (depends on 3), 7 (depends on 6), 8 (depends on 2, 4, 5, and 7).
Draw the graph and label dependencies step by step.
Create a DAG to represent project tasks where tasks A, B must be done before task C; task A also leads to task D; and task D leads to task E. Find the longest path.
Map out all tasks and visualize their connections to understand dependencies.
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