TY - JOUR
AU - Ashleigh Adams
AU - Carole Hall
AU - Eric Stucky
PY - 2019/09/17
Y2 - 2023/04/01
TI - Classifications of ℓ-Zero-Sumfree Sets
JF - The PUMP Journal of Undergraduate Research
JA - PUMP J. Undergrad. Res.
VL - 2
IS - 0
SE - Articles
DO -
UR - https://journals.calstate.edu/pump/article/view/1805
AB - The set of all ℓ-zero-sumfree subsets of ℤ/nℤ is a simplicial complex denoted by Δn, ℓ. We create an algorithm via defining a set of integer partitions we call (n,ℓ)-congruent partitions in order to compute this complex for moderately-sized parameters n and ℓ. We also theoretically determine Δn, ℓ for several infinite families of parameters, and compute the intersection posets and the characteristic polynomials of the corresponding coordinate subspace arrangements.
ER -