Two Quick Proofs of a Catalan Lemma Needed by Lisa Sauermann and Yuval Wigderson
Shalosh B. Ekhad, Doron Zeilberger
TL;DR
This paper provides two concise proofs of two combinatorial identities from a recent article, simplifying the original proofs and contributing to the understanding of Catalan-related lemmas.
Contribution
It introduces shorter, more elegant proofs of key combinatorial identities used in recent research, enhancing clarity and accessibility.
Findings
Two shorter proofs of combinatorial identities
Simplification of original proofs
Enhanced understanding of Catalan lemmas
Abstract
We present two proofs each, all shorter than the original proofs, of two elegant combinatorial identities that came up in the beautiful article arXiv:2010.00077 .
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Taxonomy
TopicsGraph Labeling and Dimension Problems · graph theory and CDMA systems · Advanced Combinatorial Mathematics