feat(GraphTheory/ExampleSheet1): question 3 - #54
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YaelDillies merged 2 commits intoSep 2, 2026
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Thank you, but can you merge master?
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should be doable now |
YaelDillies
enabled auto-merge (squash)
September 2, 2026 07:09
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Question 3's existing signature is false for empty and singleton vertex types. This adds the necessary
[Nontrivial α]assumption and proves the stronger result for every finite graph with at least two vertices.The proof maps each degree into
Fin (card α). If this map were injective, equal finite cardinalities would make it surjective, producing both an isolated vertex and a universal vertex. That contradiction yields two distinct vertices with equal degree.