
6.4.26 Graph theory
Problem:
A digraph is defined by an adjacency matrix. It is necessary to:
a) draw a graph;
b) identify components of strong connectivity;
c) replace all arcs with edges and find an Euler chain (or cycle) in the obtained undirected graph.
\[
\left(\begin{array}{llllll}
0 & 0 & 0 & 0 & 1 & 1 \\
0 & 0 & 0 & 0 & 1 & 0 \\
1 & 1 & 1 & 0 & 0 & 0 \\
1 & 0 & 1 & 0 & 0 & 1 \\
0 & 1 & 0 & 0 & 0 & 0 \\
1 & 0 & 1 & 1 & 1 & 0
\end{array}\right)
\]