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math.CO2024
Exactly-solvable self-trapping lattice walks. II. Lattices of arbitrary height
Jay Pantone, Alexander R. Klotz, Everett Sullivan
A growing self-avoiding walk (GSAW) is a walk on a graph that is directed, does not visit the same vertex twice, and has a trapped endpoint. We show that the generating function en…
math.CO2022★ 1 cited
Exactly-Solvable Self-Trapping Lattice Walks. Part I: Trapping in Ladder Graphs
Alexander R. Klotz, Everett Sullivan
A growing self-avoiding walk (GSAW) is a stochastic process that starts from the origin on a lattice and grows by occupying an unoccupied adjacent lattice site at random. A suffici…
math.CO2016
Linear chord diagrams with long chords
Everett Sullivan
A linear chord diagram of size is a partition of the set into sets of size two, called chords. From a table showing the number of linear chord diagrams of d…