Question

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Explanation:

Identify the network vertices and directed paths

Using the Graph Terminology and Graph Theory knowledge points:

• The network contains three vertices: \(A\), \(B\), and \(C\).
• The directed paths (edges with direction) are:

1. From \(A\) to \(B\)
2. From \(B\) to \(A\)
3. From \(B\) to \(C\)
4. From \(C\) to \(B\)

Construct the network diagram representation

Using the Network Representation knowledge point:

• Draw three nodes labeled \(A\), \(B\), and \(C\).
• Connect \(A\) and \(B\) with two directed arrows: one pointing from \(A\) to \(B\), and one pointing from \(B\) to \(A\).
• Connect \(B\) and \(C\) with two directed arrows: one pointing from \(B\) to \(C\), and one pointing from \(C\) to \(B\).
• No paths exist between \(A\) and \(C\), and no self-loops exist.

Answer:

The network diagram consists of three vertices, \(A\), \(B\), and \(C\), connected by the following directed edges:

• A bidirectional connection between \(A\) and \(B\) (one arrow pointing from \(A\) to \(B\), and another pointing from \(B\) to \(A\)).
• A bidirectional connection between \(B\) and \(C\) (one arrow pointing from \(B\) to \(C\), and another pointing from \(C\) to \(B\)).
• No edges connecting \(A\) and \(C\) directly.