The following are adjacency matrices for graphs. In each case determine whether the
Chapter 10, Problem 6(choose chapter or problem)
The following are adjacency matrices for graphs. In each case determine whether the graph is connected by analyzing the matrix without drawing the graph.
a. \(\left[\begin{array}{lll}0 & 1 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & 0\end{array}\right]\)
b. \(\left[\begin{array}{llll}0 & 2 & 0 & 0 \\ 2 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1\end{array}\right]\)
Text Transcription:
[0 & 1 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & 0]
[0 & 2 & 0 & 0 \\ 2 & 0 & 0 & 0 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1]
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