Question: 1. Show that for each r , all connected, simple, 3-vertex, r -regular graphs are isomorphic. 2. Show that the property given is an invariant:

1. Show that for each r, all connected, simple, 3-vertex, r-regular graphs are isomorphic.

2. Show that the property given is an invariant:

1. Show that for each r , all connected, simple,
Has an edge (v, w), where d ( v) = i and o(w = j

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