Answer the following $($a$)-($g$)$ about the graph below $($you may have to click on the link at the bottom to see the graph$)$:

a$)$ Simple? Why?

b$)$ Planar? Why?

c$)$ List the degree set for the graph.

d$)$ Does it have an Euler Circuit? If not, why? If so$,$ what is it$?$

e$)$ Does it have an Euler Path? If not, why? If so$,$ what is it$?$

f$)$ Does it have a Hamiltonian Circuit? If not, why? If so$,$ what is it$?$

g$)$ Write the adjacency matrix for the graph.