What is the defining property of an acyclic graph?
Understand the Problem
The question asks about the defining property of an acyclic graph. An acyclic graph is a graph that does not contain any cycles. A cycle is a path in a graph that starts and ends at the same vertex.
Answer
An acyclic graph contains no cycles.
The defining property of an acyclic graph is that it contains no cycles. In other words, there is no path in the graph that allows you to start at a vertex and return to the same vertex by following the edges.
Answer for screen readers
The defining property of an acyclic graph is that it contains no cycles. In other words, there is no path in the graph that allows you to start at a vertex and return to the same vertex by following the edges.
More Information
Acyclic graphs are used in various applications, such as scheduling, data compression, and dependency resolution.
Tips
A common mistake is to confuse acyclic graphs with other types of graphs, such as cyclic graphs or trees. Remember that acyclic graphs specifically lack cycles, while trees are connected acyclic graphs.
Sources
- Directed acyclic graph - Wikipedia - en.wikipedia.org
- Introduction to Directed Acyclic Graph - GeeksforGeeks - geeksforgeeks.org
- Acyclic Graph -- from Wolfram MathWorld - mathworld.wolfram.com
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