Consider the following DAG: A) B G D C E F

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Discrete Math: Give an example of a topological sort, a maximal chain, and a maximal anti-chain in this graph
### Directed Acyclic Graph (DAG) Example

Consider the following DAG:

- **Nodes**: 
  - A
  - B
  - C
  - D
  - E
  - F
  - G

- **Edges**: 
  - A → B
  - B → C
  - B → E
  - G → D
  - C → E
  - D → E
  - E → F

Each node represents a point in the graph, and the arrows (edges) represent the direction of flow from one node to another. 

This graph is acyclic, meaning it has no cycles or loops, which is a key characteristic of a DAG (Directed Acyclic Graph). The flow of the graph follows directed paths, illustrating how one node can influence others in the sequence.
Transcribed Image Text:### Directed Acyclic Graph (DAG) Example Consider the following DAG: - **Nodes**: - A - B - C - D - E - F - G - **Edges**: - A → B - B → C - B → E - G → D - C → E - D → E - E → F Each node represents a point in the graph, and the arrows (edges) represent the direction of flow from one node to another. This graph is acyclic, meaning it has no cycles or loops, which is a key characteristic of a DAG (Directed Acyclic Graph). The flow of the graph follows directed paths, illustrating how one node can influence others in the sequence.
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