Alternative Inductive Proof of Dilworth's Theorem
arXiv:2606.065132.4
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For mathematicians and computer scientists interested in combinatorial theorems, this is an incremental contribution offering a new perspective on a known proof.
The paper presents an alternative inductive proof of Dilworth's theorem, which is a known result in combinatorics. The proof has an algorithmic flavor based on a merging lemma.
Several elegant inductive proofs of Dilworth's theorem can be found in the literature. In this note, I present another inductive proof with an algorithmic flavor based on a merging lemma.