On a Family of Conjectures of Joel Lewis on Alternating Permutations
classification
🧮 math.CO
keywords
alternatingpermutationsavoidingconjecturesjoellewisbijectioncertain
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We prove generalized versions of some conjectures of Joel Lewis on the number of alternating permutations avoiding certain patterns. Our main tool is the perhaps surprising observation that a classic bijection on pattern avoiding permutations often preserves the alternating property.
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