To determine which of the given directed graphs is reflexive, we need to understand the concept of reflexivity in graph theory.

A directed graph is reflexive if every vertex in the graph has a self-loop, meaning there is an edge from the vertex to itself.

Now, let's analyze each of the given graphs:

- Graph 1: This graph has a self-loop on vertex A, so it is reflexive.

- Graph 2: This graph does not have any self-loops, so it is not reflexive.

- Graph 3: This graph has a self-loop on vertex C, so it is reflexive.

Based on our analysis, Graph 1 and Graph 3 are reflexive, while Graph 2 is not reflexive. Therefore, the correct answer is "all of the above".

Question

To determine which of the given directed graphs is reflexive, we need to understand the concept of reflexivity in graph theory.

A directed graph is reflexive if every vertex in the graph has a self-loop, meaning there is an edge from the vertex to itself.

Now, let's analyze each of the given graphs:

- Graph 1: This graph has a self-loop on vertex A, so it is reflexive.

- Graph 2: This graph does not have any self-loops, so it is not reflexive.

- Graph 3: This graph has a self-loop on vertex C, so it is reflexive.

Based on our analysis, Graph 1 and Graph 3 are reflexive, while Graph 2 is not reflexive. Therefore, the correct answer is "all of the above".

Knowee AI · Accepted Answer

To determine which of the given directed graphs is reflexive, we need to understand the concept of reflexivity in graph theory.

A directed graph is reflexive if every vertex in the graph has a self-loop, meaning there is an edge from the vertex to itself.

Now, let's analyze each of the given graphs:

- Graph 1: This graph has a self-loop on vertex A, so it is reflexive.

- Graph 2: This graph does not have any self-loops, so it is not reflexive.

- Graph 3: This graph has a self-loop on vertex C, so it is reflexive.

Based on our analysis, Graph 1 and Graph 3 are reflexive, while Graph 2 is not reflexive. Therefore, the correct answer is "all of the above".

Which of the following directed graph is reflexive?Group of answer choicesall of the above PreviousNext