1 citations · 1 across the 4 of their papers we have counts for
5 papers
Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-Scientist
Mohsen Aliabadi, Keith Driscoll, Elliot Krop +3
We introduce an extremal invariant associated with Chowla-type order conditions in finite groups. A nonempty subset of a finite group is called a Chowla set if every elemen…
Danceability, A New Definition of Bridge Index
Sol Addison, Sarah Blackwell, Puttipong Pongtanapaisan +3
There are many commonly known definitions of the bridge index coming from combinatorial knot theory, Morse theory, geometry, and algebra. In this paper, we prove that the danceabil…
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…
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…
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…