Chapter 12, Problem 8E

(a)

To determine

To prove: The constant term of $p_G\left(k\right)$ equals 0.

(b)

To determine

To prove: The coefficient of k in $p_G\left(k\right)$ is nonzero if and only if G is connected.

(c)

To determine

To prove: The coefficient of $k^{n-1}$ in $p_G\left(k\right)$ equals $-m$, where m is the number of edges of G.