$6\mathrm{.}4\mathrm{.}6$

In Exercises $6\mathrm{.}4\mathrm{.}6$ through $6\mathrm{.}4\mathrm{.}9,$ apply a modified version of each of Algorithms $6\mathrm{.}4\mathrm{.}1$

through $6\mathrm{.}4\mathrm{.}3$ to the specified graph to try to find a minimum$-$weight open hamiltonian

path that starts at vertex a$.$ Base your modification on Transformation $1.$ Indicate the

vertex sequence and total edge$-$weight for each of the three outputs.

$6\mathrm{.}4\mathrm{.}6$