13. A digraph can be represented by an adjacency matrix. If there is a directed edge from vertex a to vertex b, then a 1 is placed in row a, column b of the matrix; otherwise a 0 is entered. Matrix M is the adjacency matrix for the following graph. a c b $\begin{bmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{bmatrix}$ Find the adjacency matrix for each of the following digraphs. a. b. c. d.
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The adjacency matrix for a complete graph with n vertices is a matrix of size n x n, where all entries are 1 except for the diagonal entries, which are 0. Since we have r vertices removed, we need to remove r rows and r columns from the matrix. Show more…
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