14 citations · 26 across the 27 of their papers we have counts for
7 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…
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…
Generalized chip firing and critical groups of arithmetical structures on trees
Kassie Archer, Alexander Diaz-Lopez, Darren Glass +1
Chip firing provides a way to study the sandpile group (also known as the Jacobian) of a graph. We use a generalized version of chip firing to bound the number of invariant factors…
Pattern avoidance in compositions and powers of permutations
Kassie Archer, Noel Bourne
A permutation is said to avoid a chain of patterns if avoids and avoids In this paper, we define a notion of pattern avoidance for compositions of po…
Harmonic Morphisms of Arithmetical Structures on Graphs
Kassie Archer, Caroline Melles
Let be a harmonic morphism of connected graphs. We show that an arithmetical structure on can be pulled back via to an arithmetical structur…
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…