In a Directed Acyclic Graph (DAG), if the vertices u and v are sorted in topological order, it means that if there is a directed edge from vertex u to vertex v, then u comes before v in the ordering.

Here are the steps to infer the relationship:

1. Understand the concept of topological sorting: Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge u - v, vertex u comes before v in the ordering.

2. Apply this concept to vertices u and v: If there is a directed edge from u to v in the graph, then in the topological sort order, u will come before v.

3. Conclusion: Therefore, in a topologically sorted order of vertices u and v in a DAG, if there is a directed edge from u to v, then u will come before v in the ordering. If there is no edge between u and v, then their order can be arbitrary.

Question

In a Directed Acyclic Graph (DAG), if the vertices u and v are sorted in topological order, it means that if there is a directed edge from vertex u to vertex v, then u comes before v in the ordering.

Here are the steps to infer the relationship:

1. Understand the concept of topological sorting: Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge u -> v, vertex u comes before v in the ordering.

2. Apply this concept to vertices u and v: If there is a directed edge from u to v in the graph, then in the topological sort order, u will come before v.

3. Conclusion: Therefore, in a topologically sorted order of vertices u and v in a DAG, if there is a directed edge from u to v, then u will come before v in the ordering. If there is no edge between u and v, then their order can be arbitrary.

Knowee AI · Accepted Answer

In a Directed Acyclic Graph (DAG), if the vertices u and v are sorted in topological order, it means that if there is a directed edge from vertex u to vertex v, then u comes before v in the ordering.

Here are the steps to infer the relationship:

1. Understand the concept of topological sorting: Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge u -> v, vertex u comes before v in the ordering.

2. Apply this concept to vertices u and v: If there is a directed edge from u to v in the graph, then in the topological sort order, u will come before v.

3. Conclusion: Therefore, in a topologically sorted order of vertices u and v in a DAG, if there is a directed edge from u to v, then u will come before v in the ordering. If there is no edge between u and v, then their order can be arbitrary.

In a topologically sorted order of vertices u and v in a DAG, what can you infer about the relationship between u and v?

Question

In a topologically sorted order of vertices `u` and `v` in a DAG, what can you infer about the relationship between `u` and `v`?

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