Let G VE be given by V rstuv E abcde and f E w y w y E

Let G = (V,E) be given by V = {r,s,t,u,v], E = {a,b,c,d,e}  and
f : E -> {{w, y }| w, y E V }

is defined as:

x

a

b

c

d

e

f(x)

{r, v}

{r, r}

{t, v}

{u, s}

{s, u}

(a) Draw the graph for G Label all vertices and edges.

(b) Is G directed or undirected? Explain how you can tell.

x

a

b

c

d

e

f(x)

{r, v}

{r, r}

{t, v}

{u, s}

{s, u}

Solution

Let G = (V,E) be given by V = {r,s,t,u,v], E = {a,b,c,d,e} and f : E -> {{w, y }| w, y E V } is defined as: x a b c d e f(x) {r, v} {r, r} {t, v} {u, s} {s,

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