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from class: Math for Non-Math Majors Definition Acyclic refers to a graph that contains no cycles. In other words, it is a graph where there is no way to start at one vertex and return to it by following the edges.
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Predict what's on your test 5 Must Know Facts For Your Next Test An acyclic graph does not contain any closed loops. All trees are acyclic graphs. In an acyclic graph, the number of edges is always less than the number of vertices. A directed acyclic graph (DAG) has directed edges and no cycles. Acyclicity can be checked using algorithms like Depth-First Search (DFS). Review Questions What does it mean for a graph to be acyclic? Why are all trees considered acyclic? How can you determine if a graph is acyclic?
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