Notice in the graph the verticies are \(V=\left\{1,2,3,4,5,6\right\}\) and the edges are \(E=\left\{\left\{1,2\right\},\left\{2,3\right\},\left\{3,4\right\},\left\{4,6\right\},\left\{4,5\right\},\left\{1,5\right\},\left\{2,5\right\}\right\}\)