Question: Show that: (a) If G is a graph that has a bridge e E(G) and all its vertices has an odd degree, then all

Show that: (a) If G is a graph that has a bridge

Show that: (a) If G is a graph that has a bridge e E(G) and all its vertices has an odd degree, then all perfect matchings of G contains e. (b) Deduce that if G is 3-regular and G has a bridge, then X(G) = 4

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