6 citations · 12 across the 18 of their papers we have counts for
5 papers · 1 filter
Seaweed algebras with restricted part sizes
Kassie Archer, Aaron Geary, Robert P. Laudone
Seaweed algebras are a class of Lie algebras that are naturally characterized by a pair of compositions, which in turn are represented visually as planar graphs called meanders. Th…
Characterizing avoidance in cycles via vincular patterns
Robert P. Laudone
We show that cyclic permutations avoiding are precisely those permutations whose image under the fundamental bijection avoid a set of vincular patterns. We do this by using p…
Binary operations on pattern-avoiding cycles
Kassie Archer, Christina Graves, Robert Laudone
Suppose denotes the number of cyclic permutations in that avoid a pattern . In this paper, we define partial groupoid structures on cyclic pattern-avoid…
Pattern avoidance in non-crossing and non-nesting permutations
Kassie Archer, Robert P. Laudone
Non-crossing and non-nesting permutations are variations of the well-known Stirling permutations. A permutation on is called non-crossing if it avoids…
Pattern-avoiding shallow permutations
Kassie Archer, Aaron Geary, Robert P. Laudone
Shallow permutations were defined in 1977 to be those that satisfy the lower bound of the Diaconis-Graham inequality. Recently, there has been renewed interest in these permutation…