Permutations Restricted by Two Distinct Patterns of Length Three

dc.creatorRobertson, Aaron
dc.date2000-12-05
dc.date2000-12-07
dc.date.accessioned2026-07-25T23:02:28Z
dc.descriptionDefine $S_n(R;T)$ to be the number of permutations on $n$ letters which avoid all patterns in the set $R$ and contain each pattern in the multiset $T$ exactly once. In this paper we enumerate $S_n(\{α\};\{β\})$ and $S_n(\emptyset;\{α,β\})$ for all $α\neq β\in S_3$. The results for $S_n(\{α\};\{β\})$ follow from two papers by Mansour and Vainshtein.
dc.description15 pages, some relevant reference brought to my attention (see section 4)
dc.identifierhttps://arxiv.org/abs/math/0012029
dc.identifierhttp://arxiv.org/abs/math/0012029
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/94923
dc.subjectCombinatorics
dc.subject05A15
dc.titlePermutations Restricted by Two Distinct Patterns of Length Three
dc.typetext

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