Multigraph with Finite Vertex Set may not be Finite
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Theorem
Let $G$ be a multigraph.
Let the vertex set of $G$ be finite.
Then it is not necessarily the case that $G$ is also finite.
Proof
This needs considerable tedious hard slog to complete it. In particular: two vertices, $\N$ as edges To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Finish}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |