Adjacency Matrices (VCE SSCE General Mathematics): Quizzes

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Adjacency Matrices
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What does an adjacency matrix show for each pair of vertices in a graph?

How many edges connect them

If a graph has nn vertices, what size is its adjacency matrix?

n×nn \times n square matrix

What does a 00 in an adjacency matrix cell indicate?

No edge connecting those vertices

Where do loops appear in an adjacency matrix?

On the diagonal

For undirected graphs, what property does the adjacency matrix always have?

Symmetric

What is the first step when converting an adjacency matrix to a graph?

Create and label the vertices

In a bipartite graph, how are the vertices arranged?

Two groups; edges only between groups

If a cell at row CC, column BB contains a 22, what does this mean?

Two edges connect vertex CC to BB

How many edges does a loop count as in an adjacency matrix?

One edge

What advantage do adjacency matrices provide?

Easy to use matrix math for graphs

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