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An adjacency matrix is a square matrix used to represent a finite graph. It indicates whether pairs of vertices (or nodes) in the graph are adjacent (i.e., connected directly by an edge) or not. Here's how it works: 1. **Matrix Structure**: The size of the adjacency matrix is \( n \times n \), where \( n \) is the number of vertices in the graph. Each row and column of the matrix corresponds to a vertex in the graph.

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  1. Algebraic graph theory
  2. Algebra
  3. Fields of mathematics
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