Basic Adjacency Matrix Definition

00:00 3 marks

  • Build Confidence
  • SL
  • Tier 1
  • Graph theory
  • Adjacency Matrix
  • Representation of networks

Define an adjacency matrix. In your response, explain how an adjacency matrix represents a simple, unweighted graph.

Hint Hint

Hint

Recall the definition of an adjacency matrix and how it encodes relationships between nodes.

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Complete Answer

An adjacency matrix is a square matrix used to represent a graph, where each element \(a_{ij}\) indicates whether there is an edge from vertex \(i\) to vertex \(j\) (with 1 representing an edge and 0 representing no edge).

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