(Solved): graph theory (1) Consider the graph P below (the Peterson graph). (a) Find a spanning tree of P (b) ...

(1) Consider the graph $P$ below (the Peterson graph). (a) Find a spanning tree of $P$ (b) Describe the fundamental cycles with respect to the tree you picked. (c) Describe the fundamental cutsets with respect to the tree you picked. (d) Describe the intersection of $\mathcal{C}(P)$ and ${\mathcal{C}}^{?}(P)$.