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Algebraic Graph Theory

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What is the adjacency matrix of a graph?

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A
A matrix whose entries are the weights of the edges of the graph.
💡 Explanation:

The adjacency matrix of a graph is a square matrix whose rows and columns are labeled by the vertices of the graph. The entry in the $i$th row and $j$th column of the adjacency matrix is the weight of the edge between vertices $i$ and $j$, if there is an edge between them, and $0$ otherwise.

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